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Finding the Fourth Proportional to 69,930, 96,503.94 and 38,098.08

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Solution

The fourth proportional to 69,930, 96,503.94 and 38,098.08 is: 52,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,930 : 96,503.94 = 38,098.08 : x
  2. Step 2: Convert to fraction form
    69,930/96,503.94 = 38,098.08/x
  3. Step 3: Cross multiply
    69,930x = 96,503.94 × 38,098.08
  4. Step 4: Simplify right side
    69,930x = 3,676,614,826.44
  5. Step 5: Solve for x
    x = 3,676,614,826.44/69,930
  6. Step 6: Final answer
    x = 52,575.64

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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.