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Finding the Fourth Proportional to 41,407, 62,111.58 and 13,705

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Solution

The fourth proportional to 41,407, 62,111.58 and 13,705 is: 20,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,407 : 62,111.58 = 13,705 : x
  2. Step 2: Convert to fraction form
    41,407/62,111.58 = 13,705/x
  3. Step 3: Cross multiply
    41,407x = 62,111.58 × 13,705
  4. Step 4: Simplify right side
    41,407x = 851,239,203.90
  5. Step 5: Solve for x
    x = 851,239,203.90/41,407
  6. Step 6: Final answer
    x = 20,557.86

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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.