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Finding the Fourth Proportional to 32,802.40, 49,203.60 and 9,109.90

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Solution

The fourth proportional to 32,802.40, 49,203.60 and 9,109.90 is: 13,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802.40 : 49,203.60 = 9,109.90 : x
  2. Step 2: Convert to fraction form
    32,802.40/49,203.60 = 9,109.90/x
  3. Step 3: Cross multiply
    32,802.40x = 49,203.60 × 9,109.90
  4. Step 4: Simplify right side
    32,802.40x = 448,239,875.64
  5. Step 5: Solve for x
    x = 448,239,875.64/32,802.40
  6. Step 6: Final answer
    x = 13,664.85

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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.