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Finding the Fourth Proportional to 92,047.42, 137,958.06 and 47,648.86

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Solution

The fourth proportional to 92,047.42, 137,958.06 and 47,648.86 is: 71,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,047.42 : 137,958.06 = 47,648.86 : x
  2. Step 2: Convert to fraction form
    92,047.42/137,958.06 = 47,648.86/x
  3. Step 3: Cross multiply
    92,047.42x = 137,958.06 × 47,648.86
  4. Step 4: Simplify right side
    92,047.42x = 6,573,544,286.81
  5. Step 5: Solve for x
    x = 6,573,544,286.81/92,047.42
  6. Step 6: Final answer
    x = 71,414.76

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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.