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Finding the Fourth Proportional to 32,774,401.60, 49,161,602.40 and 22,570,734.40

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Solution

The fourth proportional to 32,774,401.60, 49,161,602.40 and 22,570,734.40 is: 33,856,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774,401.60 : 49,161,602.40 = 22,570,734.40 : x
  2. Step 2: Convert to fraction form
    32,774,401.60/49,161,602.40 = 22,570,734.40/x
  3. Step 3: Cross multiply
    32,774,401.60x = 49,161,602.40 × 22,570,734.40
  4. Step 4: Simplify right side
    32,774,401.60x = 1,109,613,470,448,802.50
  5. Step 5: Solve for x
    x = 1,109,613,470,448,802.50/32,774,401.60
  6. Step 6: Final answer
    x = 33,856,101.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.