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Finding the Fourth Proportional to 49,267.93, 67,909.88 and 38,494.01

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Solution

The fourth proportional to 49,267.93, 67,909.88 and 38,494.01 is: 53,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,267.93 : 67,909.88 = 38,494.01 : x
  2. Step 2: Convert to fraction form
    49,267.93/67,909.88 = 38,494.01/x
  3. Step 3: Cross multiply
    49,267.93x = 67,909.88 × 38,494.01
  4. Step 4: Simplify right side
    49,267.93x = 2,614,123,574.38
  5. Step 5: Solve for x
    x = 2,614,123,574.38/49,267.93
  6. Step 6: Final answer
    x = 53,059.34

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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.