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Finding the Fourth Proportional to 54,952.40, 75,835.68 and 31,077.92

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Solution

The fourth proportional to 54,952.40, 75,835.68 and 31,077.92 is: 42,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952.40 : 75,835.68 = 31,077.92 : x
  2. Step 2: Convert to fraction form
    54,952.40/75,835.68 = 31,077.92/x
  3. Step 3: Cross multiply
    54,952.40x = 75,835.68 × 31,077.92
  4. Step 4: Simplify right side
    54,952.40x = 2,356,815,196.19
  5. Step 5: Solve for x
    x = 2,356,815,196.19/54,952.40
  6. Step 6: Final answer
    x = 42,888.30

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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.