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Finding the Fourth Proportional to 49,062.54, 67,702.44 and 27,841.81

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Solution

The fourth proportional to 49,062.54, 67,702.44 and 27,841.81 is: 38,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,062.54 : 67,702.44 = 27,841.81 : x
  2. Step 2: Convert to fraction form
    49,062.54/67,702.44 = 27,841.81/x
  3. Step 3: Cross multiply
    49,062.54x = 67,702.44 × 27,841.81
  4. Step 4: Simplify right side
    49,062.54x = 1,884,958,132.50
  5. Step 5: Solve for x
    x = 1,884,958,132.50/49,062.54
  6. Step 6: Final answer
    x = 38,419.50

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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.