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Finding the Fourth Proportional to 55,702.28, 76,869.12 and 30,551.78

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Solution

The fourth proportional to 55,702.28, 76,869.12 and 30,551.78 is: 42,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702.28 : 76,869.12 = 30,551.78 : x
  2. Step 2: Convert to fraction form
    55,702.28/76,869.12 = 30,551.78/x
  3. Step 3: Cross multiply
    55,702.28x = 76,869.12 × 30,551.78
  4. Step 4: Simplify right side
    55,702.28x = 2,348,488,443.03
  5. Step 5: Solve for x
    x = 2,348,488,443.03/55,702.28
  6. Step 6: Final answer
    x = 42,161.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.