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Finding the Fourth Proportional to 41,577, 57,377.52 and 22,715.36

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Solution

The fourth proportional to 41,577, 57,377.52 and 22,715.36 is: 31,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,577 : 57,377.52 = 22,715.36 : x
  2. Step 2: Convert to fraction form
    41,577/57,377.52 = 22,715.36/x
  3. Step 3: Cross multiply
    41,577x = 57,377.52 × 22,715.36
  4. Step 4: Simplify right side
    41,577x = 1,303,351,022.71
  5. Step 5: Solve for x
    x = 1,303,351,022.71/41,577
  6. Step 6: Final answer
    x = 31,347.89

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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.