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Finding the Fourth Proportional to 130,710, 196,065 and 32,214

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Solution

The fourth proportional to 130,710, 196,065 and 32,214 is: 48,321

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,710 : 196,065 = 32,214 : x
  2. Step 2: Convert to fraction form
    130,710/196,065 = 32,214/x
  3. Step 3: Cross multiply
    130,710x = 196,065 × 32,214
  4. Step 4: Simplify right side
    130,710x = 6,316,037,910
  5. Step 5: Solve for x
    x = 6,316,037,910/130,710
  6. Step 6: Final answer
    x = 48,321

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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.