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Finding the Fourth Proportional to 71,172.60, 106,730.10 and 24,401.40

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Solution

The fourth proportional to 71,172.60, 106,730.10 and 24,401.40 is: 36,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,172.60 : 106,730.10 = 24,401.40 : x
  2. Step 2: Convert to fraction form
    71,172.60/106,730.10 = 24,401.40/x
  3. Step 3: Cross multiply
    71,172.60x = 106,730.10 × 24,401.40
  4. Step 4: Simplify right side
    71,172.60x = 2,604,363,862.14
  5. Step 5: Solve for x
    x = 2,604,363,862.14/71,172.60
  6. Step 6: Final answer
    x = 36,592.23

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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.