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Finding the Fourth Proportional to 83,509.50, 125,275.86 and 24,349.44

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Solution

The fourth proportional to 83,509.50, 125,275.86 and 24,349.44 is: 36,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,509.50 : 125,275.86 = 24,349.44 : x
  2. Step 2: Convert to fraction form
    83,509.50/125,275.86 = 24,349.44/x
  3. Step 3: Cross multiply
    83,509.50x = 125,275.86 × 24,349.44
  4. Step 4: Simplify right side
    83,509.50x = 3,050,397,036.52
  5. Step 5: Solve for x
    x = 3,050,397,036.52/83,509.50
  6. Step 6: Final answer
    x = 36,527.55

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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.