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Finding the Fourth Proportional to 55,713.20, 76,891.02 and 31,834.40

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Solution

The fourth proportional to 55,713.20, 76,891.02 and 31,834.40 is: 43,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,713.20 : 76,891.02 = 31,834.40 : x
  2. Step 2: Convert to fraction form
    55,713.20/76,891.02 = 31,834.40/x
  3. Step 3: Cross multiply
    55,713.20x = 76,891.02 × 31,834.40
  4. Step 4: Simplify right side
    55,713.20x = 2,447,779,487.09
  5. Step 5: Solve for x
    x = 2,447,779,487.09/55,713.20
  6. Step 6: Final answer
    x = 43,935.36

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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.