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Finding the Fourth Proportional to 83,045.49, 124,655.91 and 38,715

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Solution

The fourth proportional to 83,045.49, 124,655.91 and 38,715 is: 58,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,045.49 : 124,655.91 = 38,715 : x
  2. Step 2: Convert to fraction form
    83,045.49/124,655.91 = 38,715/x
  3. Step 3: Cross multiply
    83,045.49x = 124,655.91 × 38,715
  4. Step 4: Simplify right side
    83,045.49x = 4,826,053,555.65
  5. Step 5: Solve for x
    x = 4,826,053,555.65/83,045.49
  6. Step 6: Final answer
    x = 58,113.37

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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.