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Finding the Fourth Proportional to 83,212.56, 124,821.27 and 24,061.50

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Solution

The fourth proportional to 83,212.56, 124,821.27 and 24,061.50 is: 36,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,212.56 : 124,821.27 = 24,061.50 : x
  2. Step 2: Convert to fraction form
    83,212.56/124,821.27 = 24,061.50/x
  3. Step 3: Cross multiply
    83,212.56x = 124,821.27 × 24,061.50
  4. Step 4: Simplify right side
    83,212.56x = 3,003,386,988.11
  5. Step 5: Solve for x
    x = 3,003,386,988.11/83,212.56
  6. Step 6: Final answer
    x = 36,092.95

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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.