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Finding the Fourth Proportional to 67,146.87, 100,741.14 and 27,707.16

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Solution

The fourth proportional to 67,146.87, 100,741.14 and 27,707.16 is: 41,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,146.87 : 100,741.14 = 27,707.16 : x
  2. Step 2: Convert to fraction form
    67,146.87/100,741.14 = 27,707.16/x
  3. Step 3: Cross multiply
    67,146.87x = 100,741.14 × 27,707.16
  4. Step 4: Simplify right side
    67,146.87x = 2,791,250,884.56
  5. Step 5: Solve for x
    x = 2,791,250,884.56/67,146.87
  6. Step 6: Final answer
    x = 41,569.34

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1.5x scale

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.