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Finding the Fourth Proportional to 56,292.40, 77,670.66 and 32,414.68

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Solution

The fourth proportional to 56,292.40, 77,670.66 and 32,414.68 is: 44,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,292.40 : 77,670.66 = 32,414.68 : x
  2. Step 2: Convert to fraction form
    56,292.40/77,670.66 = 32,414.68/x
  3. Step 3: Cross multiply
    56,292.40x = 77,670.66 × 32,414.68
  4. Step 4: Simplify right side
    56,292.40x = 2,517,669,589.29
  5. Step 5: Solve for x
    x = 2,517,669,589.29/56,292.40
  6. Step 6: Final answer
    x = 44,724.86

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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.