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Finding the Fourth Proportional to 83,446.64, 125,182.50 and 24,274.52

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Solution

The fourth proportional to 83,446.64, 125,182.50 and 24,274.52 is: 36,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,446.64 : 125,182.50 = 24,274.52 : x
  2. Step 2: Convert to fraction form
    83,446.64/125,182.50 = 24,274.52/x
  3. Step 3: Cross multiply
    83,446.64x = 125,182.50 × 24,274.52
  4. Step 4: Simplify right side
    83,446.64x = 3,038,744,473.99
  5. Step 5: Solve for x
    x = 3,038,744,473.99/83,446.64
  6. Step 6: Final answer
    x = 36,415.42

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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.