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Finding the Fourth Proportional to 47,501.49, 71,242.80 and 13,771.47

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Solution

The fourth proportional to 47,501.49, 71,242.80 and 13,771.47 is: 20,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,501.49 : 71,242.80 = 13,771.47 : x
  2. Step 2: Convert to fraction form
    47,501.49/71,242.80 = 13,771.47/x
  3. Step 3: Cross multiply
    47,501.49x = 71,242.80 × 13,771.47
  4. Step 4: Simplify right side
    47,501.49x = 981,118,082.92
  5. Step 5: Solve for x
    x = 981,118,082.92/47,501.49
  6. Step 6: Final answer
    x = 20,654.47

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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.