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Finding the Fourth Proportional to 130,687, 196,031.46 and 32,191

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Solution

The fourth proportional to 130,687, 196,031.46 and 32,191 is: 48,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,687 : 196,031.46 = 32,191 : x
  2. Step 2: Convert to fraction form
    130,687/196,031.46 = 32,191/x
  3. Step 3: Cross multiply
    130,687x = 196,031.46 × 32,191
  4. Step 4: Simplify right side
    130,687x = 6,310,448,728.86
  5. Step 5: Solve for x
    x = 6,310,448,728.86/130,687
  6. Step 6: Final answer
    x = 48,286.74

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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.