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Finding the Fourth Proportional to 41,347.42, 57,057.15 and 22,484.38

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Solution

The fourth proportional to 41,347.42, 57,057.15 and 22,484.38 is: 31,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,347.42 : 57,057.15 = 22,484.38 : x
  2. Step 2: Convert to fraction form
    41,347.42/57,057.15 = 22,484.38/x
  3. Step 3: Cross multiply
    41,347.42x = 57,057.15 × 22,484.38
  4. Step 4: Simplify right side
    41,347.42x = 1,282,894,642.32
  5. Step 5: Solve for x
    x = 1,282,894,642.32/41,347.42
  6. Step 6: Final answer
    x = 31,027.20

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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.