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Finding the Fourth Proportional to 41,854.76, 62,795.10 and 19,667.24

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Solution

The fourth proportional to 41,854.76, 62,795.10 and 19,667.24 is: 29,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,854.76 : 62,795.10 = 19,667.24 : x
  2. Step 2: Convert to fraction form
    41,854.76/62,795.10 = 19,667.24/x
  3. Step 3: Cross multiply
    41,854.76x = 62,795.10 × 19,667.24
  4. Step 4: Simplify right side
    41,854.76x = 1,235,006,302.52
  5. Step 5: Solve for x
    x = 1,235,006,302.52/41,854.76
  6. Step 6: Final answer
    x = 29,506.95

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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.