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Finding the Fourth Proportional to 92,052.42, 137,965.56 and 47,653.86

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Solution

The fourth proportional to 92,052.42, 137,965.56 and 47,653.86 is: 71,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,052.42 : 137,965.56 = 47,653.86 : x
  2. Step 2: Convert to fraction form
    92,052.42/137,965.56 = 47,653.86/x
  3. Step 3: Cross multiply
    92,052.42x = 137,965.56 × 47,653.86
  4. Step 4: Simplify right side
    92,052.42x = 6,574,591,481.06
  5. Step 5: Solve for x
    x = 6,574,591,481.06/92,052.42
  6. Step 6: Final answer
    x = 71,422.26

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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.