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Finding the Fourth Proportional to 54,761.52, 75,536.10 and 35,899.86

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Solution

The fourth proportional to 54,761.52, 75,536.10 and 35,899.86 is: 49,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,761.52 : 75,536.10 = 35,899.86 : x
  2. Step 2: Convert to fraction form
    54,761.52/75,536.10 = 35,899.86/x
  3. Step 3: Cross multiply
    54,761.52x = 75,536.10 × 35,899.86
  4. Step 4: Simplify right side
    54,761.52x = 2,711,735,414.95
  5. Step 5: Solve for x
    x = 2,711,735,414.95/54,761.52
  6. Step 6: Final answer
    x = 49,518.99

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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.