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Finding the Fourth Proportional to 40,694.16, 56,154.72 and 22,785

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Solution

The fourth proportional to 40,694.16, 56,154.72 and 22,785 is: 31,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,694.16 : 56,154.72 = 22,785 : x
  2. Step 2: Convert to fraction form
    40,694.16/56,154.72 = 22,785/x
  3. Step 3: Cross multiply
    40,694.16x = 56,154.72 × 22,785
  4. Step 4: Simplify right side
    40,694.16x = 1,279,485,295.20
  5. Step 5: Solve for x
    x = 1,279,485,295.20/40,694.16
  6. Step 6: Final answer
    x = 31,441.50

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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.