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Finding the Fourth Proportional to 32,414.73, 48,622.10 and 7,790.73

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Solution

The fourth proportional to 32,414.73, 48,622.10 and 7,790.73 is: 11,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.73 : 48,622.10 = 7,790.73 : x
  2. Step 2: Convert to fraction form
    32,414.73/48,622.10 = 7,790.73/x
  3. Step 3: Cross multiply
    32,414.73x = 48,622.10 × 7,790.73
  4. Step 4: Simplify right side
    32,414.73x = 378,801,653.13
  5. Step 5: Solve for x
    x = 378,801,653.13/32,414.73
  6. Step 6: Final answer
    x = 11,686.10

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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.