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Finding the Fourth Proportional to 71,784.16, 107,693.28 and 24,402.40

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Solution

The fourth proportional to 71,784.16, 107,693.28 and 24,402.40 is: 36,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,784.16 : 107,693.28 = 24,402.40 : x
  2. Step 2: Convert to fraction form
    71,784.16/107,693.28 = 24,402.40/x
  3. Step 3: Cross multiply
    71,784.16x = 107,693.28 × 24,402.40
  4. Step 4: Simplify right side
    71,784.16x = 2,627,974,495.87
  5. Step 5: Solve for x
    x = 2,627,974,495.87/71,784.16
  6. Step 6: Final answer
    x = 36,609.39

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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.