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Finding the Fourth Proportional to 48,657.86, 72,801.91 and 29,687.65

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Solution

The fourth proportional to 48,657.86, 72,801.91 and 29,687.65 is: 44,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657.86 : 72,801.91 = 29,687.65 : x
  2. Step 2: Convert to fraction form
    48,657.86/72,801.91 = 29,687.65/x
  3. Step 3: Cross multiply
    48,657.86x = 72,801.91 × 29,687.65
  4. Step 4: Simplify right side
    48,657.86x = 2,161,317,311.52
  5. Step 5: Solve for x
    x = 2,161,317,311.52/48,657.86
  6. Step 6: Final answer
    x = 44,418.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.