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Finding the Fourth Proportional to 99,917.79, 137,882.52 and 54,594.63

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Solution

The fourth proportional to 99,917.79, 137,882.52 and 54,594.63 is: 75,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,917.79 : 137,882.52 = 54,594.63 : x
  2. Step 2: Convert to fraction form
    99,917.79/137,882.52 = 54,594.63/x
  3. Step 3: Cross multiply
    99,917.79x = 137,882.52 × 54,594.63
  4. Step 4: Simplify right side
    99,917.79x = 7,527,645,162.87
  5. Step 5: Solve for x
    x = 7,527,645,162.87/99,917.79
  6. Step 6: Final answer
    x = 75,338.39

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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.