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Finding the Fourth Proportional to 56,382.74, 84,574 and 24,785.25

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Solution

The fourth proportional to 56,382.74, 84,574 and 24,785.25 is: 37,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,382.74 : 84,574 = 24,785.25 : x
  2. Step 2: Convert to fraction form
    56,382.74/84,574 = 24,785.25/x
  3. Step 3: Cross multiply
    56,382.74x = 84,574 × 24,785.25
  4. Step 4: Simplify right side
    56,382.74x = 2,096,187,733.50
  5. Step 5: Solve for x
    x = 2,096,187,733.50/56,382.74
  6. Step 6: Final answer
    x = 37,177.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.