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Finding the Fourth Proportional to 41,663, 57,425.01 and 31,588.22

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Solution

The fourth proportional to 41,663, 57,425.01 and 31,588.22 is: 43,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,663 : 57,425.01 = 31,588.22 : x
  2. Step 2: Convert to fraction form
    41,663/57,425.01 = 31,588.22/x
  3. Step 3: Cross multiply
    41,663x = 57,425.01 × 31,588.22
  4. Step 4: Simplify right side
    41,663x = 1,813,953,849.38
  5. Step 5: Solve for x
    x = 1,813,953,849.38/41,663
  6. Step 6: Final answer
    x = 43,538.72

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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.