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Finding the Fourth Proportional to 56,318.70, 77,727.15 and 32,446.38

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Solution

The fourth proportional to 56,318.70, 77,727.15 and 32,446.38 is: 44,780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,318.70 : 77,727.15 = 32,446.38 : x
  2. Step 2: Convert to fraction form
    56,318.70/77,727.15 = 32,446.38/x
  3. Step 3: Cross multiply
    56,318.70x = 77,727.15 × 32,446.38
  4. Step 4: Simplify right side
    56,318.70x = 2,521,964,645.22
  5. Step 5: Solve for x
    x = 2,521,964,645.22/56,318.70
  6. Step 6: Final answer
    x = 44,780.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.