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Finding the Fourth Proportional to 99,932.74, 137,908.88 and 59,638.68

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Solution

The fourth proportional to 99,932.74, 137,908.88 and 59,638.68 is: 82,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,932.74 : 137,908.88 = 59,638.68 : x
  2. Step 2: Convert to fraction form
    99,932.74/137,908.88 = 59,638.68/x
  3. Step 3: Cross multiply
    99,932.74x = 137,908.88 × 59,638.68
  4. Step 4: Simplify right side
    99,932.74x = 8,224,703,488.93
  5. Step 5: Solve for x
    x = 8,224,703,488.93/99,932.74
  6. Step 6: Final answer
    x = 82,302.39

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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.