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Finding the Fourth Proportional to 83,277, 124,937.10 and 29,967.12

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Solution

The fourth proportional to 83,277, 124,937.10 and 29,967.12 is: 44,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,277 : 124,937.10 = 29,967.12 : x
  2. Step 2: Convert to fraction form
    83,277/124,937.10 = 29,967.12/x
  3. Step 3: Cross multiply
    83,277x = 124,937.10 × 29,967.12
  4. Step 4: Simplify right side
    83,277x = 3,744,005,068.15
  5. Step 5: Solve for x
    x = 3,744,005,068.15/83,277
  6. Step 6: Final answer
    x = 44,958.45

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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.