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Finding the Fourth Proportional to 49,089, 67,743.08 and 27,868.60

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Solution

The fourth proportional to 49,089, 67,743.08 and 27,868.60 is: 38,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,089 : 67,743.08 = 27,868.60 : x
  2. Step 2: Convert to fraction form
    49,089/67,743.08 = 27,868.60/x
  3. Step 3: Cross multiply
    49,089x = 67,743.08 × 27,868.60
  4. Step 4: Simplify right side
    49,089x = 1,887,904,799.29
  5. Step 5: Solve for x
    x = 1,887,904,799.29/49,089
  6. Step 6: Final answer
    x = 38,458.82

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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.