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Finding the Fourth Proportional to 56,314.73, 77,723.05 and 32,115.74

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Solution

The fourth proportional to 56,314.73, 77,723.05 and 32,115.74 is: 44,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,314.73 : 77,723.05 = 32,115.74 : x
  2. Step 2: Convert to fraction form
    56,314.73/77,723.05 = 32,115.74/x
  3. Step 3: Cross multiply
    56,314.73x = 77,723.05 × 32,115.74
  4. Step 4: Simplify right side
    56,314.73x = 2,496,133,105.23
  5. Step 5: Solve for x
    x = 2,496,133,105.23/56,314.73
  6. Step 6: Final answer
    x = 44,324.70

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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.