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Finding the Fourth Proportional to 32,960.40, 49,449.03 and 9,586.83

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Solution

The fourth proportional to 32,960.40, 49,449.03 and 9,586.83 is: 14,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.40 : 49,449.03 = 9,586.83 : x
  2. Step 2: Convert to fraction form
    32,960.40/49,449.03 = 9,586.83/x
  3. Step 3: Cross multiply
    32,960.40x = 49,449.03 × 9,586.83
  4. Step 4: Simplify right side
    32,960.40x = 474,059,444.27
  5. Step 5: Solve for x
    x = 474,059,444.27/32,960.40
  6. Step 6: Final answer
    x = 14,382.70

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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.