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Finding the Fourth Proportional to 40,382.50, 55,727.85 and 22,477.12

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Solution

The fourth proportional to 40,382.50, 55,727.85 and 22,477.12 is: 31,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,382.50 : 55,727.85 = 22,477.12 : x
  2. Step 2: Convert to fraction form
    40,382.50/55,727.85 = 22,477.12/x
  3. Step 3: Cross multiply
    40,382.50x = 55,727.85 × 22,477.12
  4. Step 4: Simplify right side
    40,382.50x = 1,252,601,442.57
  5. Step 5: Solve for x
    x = 1,252,601,442.57/40,382.50
  6. Step 6: Final answer
    x = 31,018.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.