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Finding the Fourth Proportional to 41,246.48, 61,876.56 and 13,538

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Solution

The fourth proportional to 41,246.48, 61,876.56 and 13,538 is: 20,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,246.48 : 61,876.56 = 13,538 : x
  2. Step 2: Convert to fraction form
    41,246.48/61,876.56 = 13,538/x
  3. Step 3: Cross multiply
    41,246.48x = 61,876.56 × 13,538
  4. Step 4: Simplify right side
    41,246.48x = 837,684,869.28
  5. Step 5: Solve for x
    x = 837,684,869.28/41,246.48
  6. Step 6: Final answer
    x = 20,309.25

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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.