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Finding the Fourth Proportional to 131,956.56, 197,932.06 and 32,117.31

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Solution

The fourth proportional to 131,956.56, 197,932.06 and 32,117.31 is: 48,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,956.56 : 197,932.06 = 32,117.31 : x
  2. Step 2: Convert to fraction form
    131,956.56/197,932.06 = 32,117.31/x
  3. Step 3: Cross multiply
    131,956.56x = 197,932.06 × 32,117.31
  4. Step 4: Simplify right side
    131,956.56x = 6,357,044,179.71
  5. Step 5: Solve for x
    x = 6,357,044,179.71/131,956.56
  6. Step 6: Final answer
    x = 48,175.28

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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.