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Finding the Fourth Proportional to 130,630, 195,945.96 and 32,134

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Solution

The fourth proportional to 130,630, 195,945.96 and 32,134 is: 48,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,630 : 195,945.96 = 32,134 : x
  2. Step 2: Convert to fraction form
    130,630/195,945.96 = 32,134/x
  3. Step 3: Cross multiply
    130,630x = 195,945.96 × 32,134
  4. Step 4: Simplify right side
    130,630x = 6,296,527,478.64
  5. Step 5: Solve for x
    x = 6,296,527,478.64/130,630
  6. Step 6: Final answer
    x = 48,201.24

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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.