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Finding the Fourth Proportional to 83,721, 115,535.04 and 45,997.68

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Solution

The fourth proportional to 83,721, 115,535.04 and 45,997.68 is: 63,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,721 : 115,535.04 = 45,997.68 : x
  2. Step 2: Convert to fraction form
    83,721/115,535.04 = 45,997.68/x
  3. Step 3: Cross multiply
    83,721x = 115,535.04 × 45,997.68
  4. Step 4: Simplify right side
    83,721x = 5,314,343,798.71
  5. Step 5: Solve for x
    x = 5,314,343,798.71/83,721
  6. Step 6: Final answer
    x = 63,476.83

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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.