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Finding the Fourth Proportional to 41,029, 61,543.50 and 12,951.88

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Solution

The fourth proportional to 41,029, 61,543.50 and 12,951.88 is: 19,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,029 : 61,543.50 = 12,951.88 : x
  2. Step 2: Convert to fraction form
    41,029/61,543.50 = 12,951.88/x
  3. Step 3: Cross multiply
    41,029x = 61,543.50 × 12,951.88
  4. Step 4: Simplify right side
    41,029x = 797,104,026.78
  5. Step 5: Solve for x
    x = 797,104,026.78/41,029
  6. Step 6: Final answer
    x = 19,427.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.