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Finding the Fourth Proportional to 92,121.32, 137,960.54 and 52,558.49

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Solution

The fourth proportional to 92,121.32, 137,960.54 and 52,558.49 is: 78,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,121.32 : 137,960.54 = 52,558.49 : x
  2. Step 2: Convert to fraction form
    92,121.32/137,960.54 = 52,558.49/x
  3. Step 3: Cross multiply
    92,121.32x = 137,960.54 × 52,558.49
  4. Step 4: Simplify right side
    92,121.32x = 7,250,998,236.83
  5. Step 5: Solve for x
    x = 7,250,998,236.83/92,121.32
  6. Step 6: Final answer
    x = 78,711.40

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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.