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Finding the Fourth Proportional to 56,704.80, 78,251.16 and 30,862.26

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Solution

The fourth proportional to 56,704.80, 78,251.16 and 30,862.26 is: 42,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,704.80 : 78,251.16 = 30,862.26 : x
  2. Step 2: Convert to fraction form
    56,704.80/78,251.16 = 30,862.26/x
  3. Step 3: Cross multiply
    56,704.80x = 78,251.16 × 30,862.26
  4. Step 4: Simplify right side
    56,704.80x = 2,415,007,645.22
  5. Step 5: Solve for x
    x = 2,415,007,645.22/56,704.80
  6. Step 6: Final answer
    x = 42,589.12

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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.