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Finding the Fourth Proportional to 92,124.66, 138,073.32 and 47,725.86

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Solution

The fourth proportional to 92,124.66, 138,073.32 and 47,725.86 is: 71,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,124.66 : 138,073.32 = 47,725.86 : x
  2. Step 2: Convert to fraction form
    92,124.66/138,073.32 = 47,725.86/x
  3. Step 3: Cross multiply
    92,124.66x = 138,073.32 × 47,725.86
  4. Step 4: Simplify right side
    92,124.66x = 6,589,667,940.06
  5. Step 5: Solve for x
    x = 6,589,667,940.06/92,124.66
  6. Step 6: Final answer
    x = 71,529.90

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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.