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Finding the Fourth Proportional to 99,890.38, 137,855.10 and 57,448

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Solution

The fourth proportional to 99,890.38, 137,855.10 and 57,448 is: 79,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,890.38 : 137,855.10 = 57,448 : x
  2. Step 2: Convert to fraction form
    99,890.38/137,855.10 = 57,448/x
  3. Step 3: Cross multiply
    99,890.38x = 137,855.10 × 57,448
  4. Step 4: Simplify right side
    99,890.38x = 7,919,499,784.80
  5. Step 5: Solve for x
    x = 7,919,499,784.80/99,890.38
  6. Step 6: Final answer
    x = 79,281.91

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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.