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Finding the Fourth Proportional to 47,501.60, 71,269 and 29,711.96

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Solution

The fourth proportional to 47,501.60, 71,269 and 29,711.96 is: 44,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,501.60 : 71,269 = 29,711.96 : x
  2. Step 2: Convert to fraction form
    47,501.60/71,269 = 29,711.96/x
  3. Step 3: Cross multiply
    47,501.60x = 71,269 × 29,711.96
  4. Step 4: Simplify right side
    47,501.60x = 2,117,541,677.24
  5. Step 5: Solve for x
    x = 2,117,541,677.24/47,501.60
  6. Step 6: Final answer
    x = 44,578.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.