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Finding the Fourth Proportional to 49,062.60, 67,702.53 and 27,841.87

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Solution

The fourth proportional to 49,062.60, 67,702.53 and 27,841.87 is: 38,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,062.60 : 67,702.53 = 27,841.87 : x
  2. Step 2: Convert to fraction form
    49,062.60/67,702.53 = 27,841.87/x
  3. Step 3: Cross multiply
    49,062.60x = 67,702.53 × 27,841.87
  4. Step 4: Simplify right side
    49,062.60x = 1,884,964,690.53
  5. Step 5: Solve for x
    x = 1,884,964,690.53/49,062.60
  6. Step 6: Final answer
    x = 38,419.58

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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.