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Finding the Fourth Proportional to 130,944, 196,416 and 32,448

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Solution

The fourth proportional to 130,944, 196,416 and 32,448 is: 48,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,944 : 196,416 = 32,448 : x
  2. Step 2: Convert to fraction form
    130,944/196,416 = 32,448/x
  3. Step 3: Cross multiply
    130,944x = 196,416 × 32,448
  4. Step 4: Simplify right side
    130,944x = 6,373,306,368
  5. Step 5: Solve for x
    x = 6,373,306,368/130,944
  6. Step 6: Final answer
    x = 48,672

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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.