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Finding the Fourth Proportional to 32,460.78, 48,691.20 and 7,836.78

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Solution

The fourth proportional to 32,460.78, 48,691.20 and 7,836.78 is: 11,755.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,460.78 : 48,691.20 = 7,836.78 : x
  2. Step 2: Convert to fraction form
    32,460.78/48,691.20 = 7,836.78/x
  3. Step 3: Cross multiply
    32,460.78x = 48,691.20 × 7,836.78
  4. Step 4: Simplify right side
    32,460.78x = 381,582,222.34
  5. Step 5: Solve for x
    x = 381,582,222.34/32,460.78
  6. Step 6: Final answer
    x = 11,755.18

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1.5x scale

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.