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Finding the Fourth Proportional to 58,738.50, 81,126.42 and 38,685

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Solution

The fourth proportional to 58,738.50, 81,126.42 and 38,685 is: 53,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,738.50 : 81,126.42 = 38,685 : x
  2. Step 2: Convert to fraction form
    58,738.50/81,126.42 = 38,685/x
  3. Step 3: Cross multiply
    58,738.50x = 81,126.42 × 38,685
  4. Step 4: Simplify right side
    58,738.50x = 3,138,375,557.70
  5. Step 5: Solve for x
    x = 3,138,375,557.70/58,738.50
  6. Step 6: Final answer
    x = 53,429.62

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Why These Related Problems?

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