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Finding the Fourth Proportional to 75,952.54, 113,689.60 and 52,120.74

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Solution

The fourth proportional to 75,952.54, 113,689.60 and 52,120.74 is: 78,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952.54 : 113,689.60 = 52,120.74 : x
  2. Step 2: Convert to fraction form
    75,952.54/113,689.60 = 52,120.74/x
  3. Step 3: Cross multiply
    75,952.54x = 113,689.60 × 52,120.74
  4. Step 4: Simplify right side
    75,952.54x = 5,925,586,205.18
  5. Step 5: Solve for x
    x = 5,925,586,205.18/75,952.54
  6. Step 6: Final answer
    x = 78,016.96

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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.