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Finding the Fourth Proportional to 80,475.40, 120,713.10 and 36,103.60

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Solution

The fourth proportional to 80,475.40, 120,713.10 and 36,103.60 is: 54,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,475.40 : 120,713.10 = 36,103.60 : x
  2. Step 2: Convert to fraction form
    80,475.40/120,713.10 = 36,103.60/x
  3. Step 3: Cross multiply
    80,475.40x = 120,713.10 × 36,103.60
  4. Step 4: Simplify right side
    80,475.40x = 4,358,177,477.16
  5. Step 5: Solve for x
    x = 4,358,177,477.16/80,475.40
  6. Step 6: Final answer
    x = 54,155.40

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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.