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Finding the Fourth Proportional to 40,438.80, 55,803.24 and 22,285.92

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Solution

The fourth proportional to 40,438.80, 55,803.24 and 22,285.92 is: 30,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,438.80 : 55,803.24 = 22,285.92 : x
  2. Step 2: Convert to fraction form
    40,438.80/55,803.24 = 22,285.92/x
  3. Step 3: Cross multiply
    40,438.80x = 55,803.24 × 22,285.92
  4. Step 4: Simplify right side
    40,438.80x = 1,243,626,542.38
  5. Step 5: Solve for x
    x = 1,243,626,542.38/40,438.80
  6. Step 6: Final answer
    x = 30,753.30

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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.