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Finding the Fourth Proportional to 32,882,649.60, 49,323,974.40 and 32,882,649.60

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Solution

The fourth proportional to 32,882,649.60, 49,323,974.40 and 32,882,649.60 is: 49,323,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,882,649.60 : 49,323,974.40 = 32,882,649.60 : x
  2. Step 2: Convert to fraction form
    32,882,649.60/49,323,974.40 = 32,882,649.60/x
  3. Step 3: Cross multiply
    32,882,649.60x = 49,323,974.40 × 32,882,649.60
  4. Step 4: Simplify right side
    32,882,649.60x = 1,621,902,967,074,570.25
  5. Step 5: Solve for x
    x = 1,621,902,967,074,570.25/32,882,649.60
  6. Step 6: Final answer
    x = 49,323,974.40

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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.