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Finding the Fourth Proportional to 32,463.78, 48,695.70 and 7,839.78

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Solution

The fourth proportional to 32,463.78, 48,695.70 and 7,839.78 is: 11,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,463.78 : 48,695.70 = 7,839.78 : x
  2. Step 2: Convert to fraction form
    32,463.78/48,695.70 = 7,839.78/x
  3. Step 3: Cross multiply
    32,463.78x = 48,695.70 × 7,839.78
  4. Step 4: Simplify right side
    32,463.78x = 381,763,574.95
  5. Step 5: Solve for x
    x = 381,763,574.95/32,463.78
  6. Step 6: Final answer
    x = 11,759.68

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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.