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Finding the Fourth Proportional to 41,659.68, 62,461.74 and 22,948.47

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Solution

The fourth proportional to 41,659.68, 62,461.74 and 22,948.47 is: 34,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,659.68 : 62,461.74 = 22,948.47 : x
  2. Step 2: Convert to fraction form
    41,659.68/62,461.74 = 22,948.47/x
  3. Step 3: Cross multiply
    41,659.68x = 62,461.74 × 22,948.47
  4. Step 4: Simplify right side
    41,659.68x = 1,433,401,366.54
  5. Step 5: Solve for x
    x = 1,433,401,366.54/41,659.68
  6. Step 6: Final answer
    x = 34,407.40

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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.