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Finding the Fourth Proportional to 55,865.38, 77,089.65 and 32,891.59

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Solution

The fourth proportional to 55,865.38, 77,089.65 and 32,891.59 is: 45,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,865.38 : 77,089.65 = 32,891.59 : x
  2. Step 2: Convert to fraction form
    55,865.38/77,089.65 = 32,891.59/x
  3. Step 3: Cross multiply
    55,865.38x = 77,089.65 × 32,891.59
  4. Step 4: Simplify right side
    55,865.38x = 2,535,601,161.04
  5. Step 5: Solve for x
    x = 2,535,601,161.04/55,865.38
  6. Step 6: Final answer
    x = 45,387.70

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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.