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Finding the Fourth Proportional to 41,646.39, 57,472.80 and 22,783.92

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Solution

The fourth proportional to 41,646.39, 57,472.80 and 22,783.92 is: 31,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646.39 : 57,472.80 = 22,783.92 : x
  2. Step 2: Convert to fraction form
    41,646.39/57,472.80 = 22,783.92/x
  3. Step 3: Cross multiply
    41,646.39x = 57,472.80 × 22,783.92
  4. Step 4: Simplify right side
    41,646.39x = 1,309,455,677.38
  5. Step 5: Solve for x
    x = 1,309,455,677.38/41,646.39
  6. Step 6: Final answer
    x = 31,442.24

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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.