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Finding the Fourth Proportional to 54,266.76, 74,867.76 and 31,910.76

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Solution

The fourth proportional to 54,266.76, 74,867.76 and 31,910.76 is: 44,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,266.76 : 74,867.76 = 31,910.76 : x
  2. Step 2: Convert to fraction form
    54,266.76/74,867.76 = 31,910.76/x
  3. Step 3: Cross multiply
    54,266.76x = 74,867.76 × 31,910.76
  4. Step 4: Simplify right side
    54,266.76x = 2,389,087,121.10
  5. Step 5: Solve for x
    x = 2,389,087,121.10/54,266.76
  6. Step 6: Final answer
    x = 44,024.87

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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.