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Finding the Fourth Proportional to 54,877.85, 75,731.27 and 31,004.52

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Solution

The fourth proportional to 54,877.85, 75,731.27 and 31,004.52 is: 42,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,877.85 : 75,731.27 = 31,004.52 : x
  2. Step 2: Convert to fraction form
    54,877.85/75,731.27 = 31,004.52/x
  3. Step 3: Cross multiply
    54,877.85x = 75,731.27 × 31,004.52
  4. Step 4: Simplify right side
    54,877.85x = 2,348,011,296.68
  5. Step 5: Solve for x
    x = 2,348,011,296.68/54,877.85
  6. Step 6: Final answer
    x = 42,786.14

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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.