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Finding the Fourth Proportional to 50,585.43, 75,878.10 and 15,046.61

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Solution

The fourth proportional to 50,585.43, 75,878.10 and 15,046.61 is: 22,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,585.43 : 75,878.10 = 15,046.61 : x
  2. Step 2: Convert to fraction form
    50,585.43/75,878.10 = 15,046.61/x
  3. Step 3: Cross multiply
    50,585.43x = 75,878.10 × 15,046.61
  4. Step 4: Simplify right side
    50,585.43x = 1,141,707,798.85
  5. Step 5: Solve for x
    x = 1,141,707,798.85/50,585.43
  6. Step 6: Final answer
    x = 22,569.89

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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.