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Finding the Fourth Proportional to 95,713, 143,576.09 and 32,507.32

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Solution

The fourth proportional to 95,713, 143,576.09 and 32,507.32 is: 48,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,713 : 143,576.09 = 32,507.32 : x
  2. Step 2: Convert to fraction form
    95,713/143,576.09 = 32,507.32/x
  3. Step 3: Cross multiply
    95,713x = 143,576.09 × 32,507.32
  4. Step 4: Simplify right side
    95,713x = 4,667,273,901.98
  5. Step 5: Solve for x
    x = 4,667,273,901.98/95,713
  6. Step 6: Final answer
    x = 48,763.22

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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.