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Finding the Fourth Proportional to 55,402.26, 76,455 and 30,251.76

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Solution

The fourth proportional to 55,402.26, 76,455 and 30,251.76 is: 41,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,402.26 : 76,455 = 30,251.76 : x
  2. Step 2: Convert to fraction form
    55,402.26/76,455 = 30,251.76/x
  3. Step 3: Cross multiply
    55,402.26x = 76,455 × 30,251.76
  4. Step 4: Simplify right side
    55,402.26x = 2,312,898,310.80
  5. Step 5: Solve for x
    x = 2,312,898,310.80/55,402.26
  6. Step 6: Final answer
    x = 41,747.36

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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.