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Finding the Fourth Proportional to 95,301.56, 142,952.34 and 32,972.06

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Solution

The fourth proportional to 95,301.56, 142,952.34 and 32,972.06 is: 49,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,301.56 : 142,952.34 = 32,972.06 : x
  2. Step 2: Convert to fraction form
    95,301.56/142,952.34 = 32,972.06/x
  3. Step 3: Cross multiply
    95,301.56x = 142,952.34 × 32,972.06
  4. Step 4: Simplify right side
    95,301.56x = 4,713,433,612.65
  5. Step 5: Solve for x
    x = 4,713,433,612.65/95,301.56
  6. Step 6: Final answer
    x = 49,458.09

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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.