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Finding the Fourth Proportional to 52,475.46, 78,689.97 and 15,027

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Solution

The fourth proportional to 52,475.46, 78,689.97 and 15,027 is: 22,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,475.46 : 78,689.97 = 15,027 : x
  2. Step 2: Convert to fraction form
    52,475.46/78,689.97 = 15,027/x
  3. Step 3: Cross multiply
    52,475.46x = 78,689.97 × 15,027
  4. Step 4: Simplify right side
    52,475.46x = 1,182,474,179.19
  5. Step 5: Solve for x
    x = 1,182,474,179.19/52,475.46
  6. Step 6: Final answer
    x = 22,533.85

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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.