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Finding the Fourth Proportional to 54,976.80, 75,862.88 and 31,105.28

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Solution

The fourth proportional to 54,976.80, 75,862.88 and 31,105.28 is: 42,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,976.80 : 75,862.88 = 31,105.28 : x
  2. Step 2: Convert to fraction form
    54,976.80/75,862.88 = 31,105.28/x
  3. Step 3: Cross multiply
    54,976.80x = 75,862.88 × 31,105.28
  4. Step 4: Simplify right side
    54,976.80x = 2,359,736,124.01
  5. Step 5: Solve for x
    x = 2,359,736,124.01/54,976.80
  6. Step 6: Final answer
    x = 42,922.40

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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.