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Finding the Fourth Proportional to 41,409, 62,116.74 and 13,707

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Solution

The fourth proportional to 41,409, 62,116.74 and 13,707 is: 20,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,409 : 62,116.74 = 13,707 : x
  2. Step 2: Convert to fraction form
    41,409/62,116.74 = 13,707/x
  3. Step 3: Cross multiply
    41,409x = 62,116.74 × 13,707
  4. Step 4: Simplify right side
    41,409x = 851,434,155.18
  5. Step 5: Solve for x
    x = 851,434,155.18/41,409
  6. Step 6: Final answer
    x = 20,561.57

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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.