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Finding the Fourth Proportional to 32,956.92, 49,439.70 and 9,582.84

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Solution

The fourth proportional to 32,956.92, 49,439.70 and 9,582.84 is: 14,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956.92 : 49,439.70 = 9,582.84 : x
  2. Step 2: Convert to fraction form
    32,956.92/49,439.70 = 9,582.84/x
  3. Step 3: Cross multiply
    32,956.92x = 49,439.70 × 9,582.84
  4. Step 4: Simplify right side
    32,956.92x = 473,772,734.75
  5. Step 5: Solve for x
    x = 473,772,734.75/32,956.92
  6. Step 6: Final answer
    x = 14,375.52

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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.