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Finding the Fourth Proportional to 80,295.64, 120,353.24 and 38,141.24

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Solution

The fourth proportional to 80,295.64, 120,353.24 and 38,141.24 is: 57,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,295.64 : 120,353.24 = 38,141.24 : x
  2. Step 2: Convert to fraction form
    80,295.64/120,353.24 = 38,141.24/x
  3. Step 3: Cross multiply
    80,295.64x = 120,353.24 × 38,141.24
  4. Step 4: Simplify right side
    80,295.64x = 4,590,421,811.62
  5. Step 5: Solve for x
    x = 4,590,421,811.62/80,295.64
  6. Step 6: Final answer
    x = 57,169.00

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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.