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Finding the Fourth Proportional to 47,715.80, 71,516.10 and 24,330.20

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Solution

The fourth proportional to 47,715.80, 71,516.10 and 24,330.20 is: 36,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,715.80 : 71,516.10 = 24,330.20 : x
  2. Step 2: Convert to fraction form
    47,715.80/71,516.10 = 24,330.20/x
  3. Step 3: Cross multiply
    47,715.80x = 71,516.10 × 24,330.20
  4. Step 4: Simplify right side
    47,715.80x = 1,740,001,016.22
  5. Step 5: Solve for x
    x = 1,740,001,016.22/47,715.80
  6. Step 6: Final answer
    x = 36,465.93

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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.