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Finding the Fourth Proportional to 40,315.38, 55,631.78 and 22,404.66

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Solution

The fourth proportional to 40,315.38, 55,631.78 and 22,404.66 is: 30,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,315.38 : 55,631.78 = 22,404.66 : x
  2. Step 2: Convert to fraction form
    40,315.38/55,631.78 = 22,404.66/x
  3. Step 3: Cross multiply
    40,315.38x = 55,631.78 × 22,404.66
  4. Step 4: Simplify right side
    40,315.38x = 1,246,411,116.09
  5. Step 5: Solve for x
    x = 1,246,411,116.09/40,315.38
  6. Step 6: Final answer
    x = 30,916.52

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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.