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Finding the Fourth Proportional to 56,083.26, 77,393.68 and 30,589.90

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Solution

The fourth proportional to 56,083.26, 77,393.68 and 30,589.90 is: 42,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,083.26 : 77,393.68 = 30,589.90 : x
  2. Step 2: Convert to fraction form
    56,083.26/77,393.68 = 30,589.90/x
  3. Step 3: Cross multiply
    56,083.26x = 77,393.68 × 30,589.90
  4. Step 4: Simplify right side
    56,083.26x = 2,367,465,097.21
  5. Step 5: Solve for x
    x = 2,367,465,097.21/56,083.26
  6. Step 6: Final answer
    x = 42,213.40

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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.