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Finding the Fourth Proportional to 92,105.14, 137,976.92 and 47,760.88

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Solution

The fourth proportional to 92,105.14, 137,976.92 and 47,760.88 is: 71,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,105.14 : 137,976.92 = 47,760.88 : x
  2. Step 2: Convert to fraction form
    92,105.14/137,976.92 = 47,760.88/x
  3. Step 3: Cross multiply
    92,105.14x = 137,976.92 × 47,760.88
  4. Step 4: Simplify right side
    92,105.14x = 6,589,899,118.89
  5. Step 5: Solve for x
    x = 6,589,899,118.89/92,105.14
  6. Step 6: Final answer
    x = 71,547.57

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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.