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Finding the Fourth Proportional to 32,472.38, 48,708.57 and 7,848.38

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Solution

The fourth proportional to 32,472.38, 48,708.57 and 7,848.38 is: 11,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472.38 : 48,708.57 = 7,848.38 : x
  2. Step 2: Convert to fraction form
    32,472.38/48,708.57 = 7,848.38/x
  3. Step 3: Cross multiply
    32,472.38x = 48,708.57 × 7,848.38
  4. Step 4: Simplify right side
    32,472.38x = 382,283,083.83
  5. Step 5: Solve for x
    x = 382,283,083.83/32,472.38
  6. Step 6: Final answer
    x = 11,772.56

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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.