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Finding the Fourth Proportional to 56,589.12, 78,089.94 and 31,437

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Solution

The fourth proportional to 56,589.12, 78,089.94 and 31,437 is: 43,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,589.12 : 78,089.94 = 31,437 : x
  2. Step 2: Convert to fraction form
    56,589.12/78,089.94 = 31,437/x
  3. Step 3: Cross multiply
    56,589.12x = 78,089.94 × 31,437
  4. Step 4: Simplify right side
    56,589.12x = 2,454,913,443.78
  5. Step 5: Solve for x
    x = 2,454,913,443.78/56,589.12
  6. Step 6: Final answer
    x = 43,381.37

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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.