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Finding the Fourth Proportional to 83,290, 124,935.12 and 34,042

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Solution

The fourth proportional to 83,290, 124,935.12 and 34,042 is: 51,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,290 : 124,935.12 = 34,042 : x
  2. Step 2: Convert to fraction form
    83,290/124,935.12 = 34,042/x
  3. Step 3: Cross multiply
    83,290x = 124,935.12 × 34,042
  4. Step 4: Simplify right side
    83,290x = 4,253,041,355.04
  5. Step 5: Solve for x
    x = 4,253,041,355.04/83,290
  6. Step 6: Final answer
    x = 51,063.05

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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.