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Finding the Fourth Proportional to 54,966.75, 75,845.48 and 31,085.79

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Solution

The fourth proportional to 54,966.75, 75,845.48 and 31,085.79 is: 42,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,966.75 : 75,845.48 = 31,085.79 : x
  2. Step 2: Convert to fraction form
    54,966.75/75,845.48 = 31,085.79/x
  3. Step 3: Cross multiply
    54,966.75x = 75,845.48 × 31,085.79
  4. Step 4: Simplify right side
    54,966.75x = 2,357,716,508.30
  5. Step 5: Solve for x
    x = 2,357,716,508.30/54,966.75
  6. Step 6: Final answer
    x = 42,893.50

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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.