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Finding the Fourth Proportional to 24,500,842.60, 36,768,978.60 and 13,706,685.40

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Solution

The fourth proportional to 24,500,842.60, 36,768,978.60 and 13,706,685.40 is: 20,569,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500,842.60 : 36,768,978.60 = 13,706,685.40 : x
  2. Step 2: Convert to fraction form
    24,500,842.60/36,768,978.60 = 13,706,685.40/x
  3. Step 3: Cross multiply
    24,500,842.60x = 36,768,978.60 × 13,706,685.40
  4. Step 4: Simplify right side
    24,500,842.60x = 503,980,822,149,532.50
  5. Step 5: Solve for x
    x = 503,980,822,149,532.50/24,500,842.60
  6. Step 6: Final answer
    x = 20,569,938.36

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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.