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Finding the Fourth Proportional to 58,672.28, 80,946.54 and 38,540

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Solution

The fourth proportional to 58,672.28, 80,946.54 and 38,540 is: 53,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,672.28 : 80,946.54 = 38,540 : x
  2. Step 2: Convert to fraction form
    58,672.28/80,946.54 = 38,540/x
  3. Step 3: Cross multiply
    58,672.28x = 80,946.54 × 38,540
  4. Step 4: Simplify right side
    58,672.28x = 3,119,679,651.60
  5. Step 5: Solve for x
    x = 3,119,679,651.60/58,672.28
  6. Step 6: Final answer
    x = 53,171.27

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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.