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Finding the Fourth Proportional to 40,382.80, 55,727.02 and 22,477.34

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Solution

The fourth proportional to 40,382.80, 55,727.02 and 22,477.34 is: 31,018.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,382.80 : 55,727.02 = 22,477.34 : x
  2. Step 2: Convert to fraction form
    40,382.80/55,727.02 = 22,477.34/x
  3. Step 3: Cross multiply
    40,382.80x = 55,727.02 × 22,477.34
  4. Step 4: Simplify right side
    40,382.80x = 1,252,595,343.14
  5. Step 5: Solve for x
    x = 1,252,595,343.14/40,382.80
  6. Step 6: Final answer
    x = 31,018.04

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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.