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Finding the Fourth Proportional to 52,172.26, 71,981.10 and 29,508.46

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Solution

The fourth proportional to 52,172.26, 71,981.10 and 29,508.46 is: 40,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,172.26 : 71,981.10 = 29,508.46 : x
  2. Step 2: Convert to fraction form
    52,172.26/71,981.10 = 29,508.46/x
  3. Step 3: Cross multiply
    52,172.26x = 71,981.10 × 29,508.46
  4. Step 4: Simplify right side
    52,172.26x = 2,124,051,410.11
  5. Step 5: Solve for x
    x = 2,124,051,410.11/52,172.26
  6. Step 6: Final answer
    x = 40,712.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.