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Finding the Fourth Proportional to 55,917.38, 77,165.98 and 30,766.88

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Solution

The fourth proportional to 55,917.38, 77,165.98 and 30,766.88 is: 42,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,917.38 : 77,165.98 = 30,766.88 : x
  2. Step 2: Convert to fraction form
    55,917.38/77,165.98 = 30,766.88/x
  3. Step 3: Cross multiply
    55,917.38x = 77,165.98 × 30,766.88
  4. Step 4: Simplify right side
    55,917.38x = 2,374,155,984.00
  5. Step 5: Solve for x
    x = 2,374,155,984.00/55,917.38
  6. Step 6: Final answer
    x = 42,458.29

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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.