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Finding the Fourth Proportional to 32,479.92, 48,721.32 and 9,105.84

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Solution

The fourth proportional to 32,479.92, 48,721.32 and 9,105.84 is: 13,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,479.92 : 48,721.32 = 9,105.84 : x
  2. Step 2: Convert to fraction form
    32,479.92/48,721.32 = 9,105.84/x
  3. Step 3: Cross multiply
    32,479.92x = 48,721.32 × 9,105.84
  4. Step 4: Simplify right side
    32,479.92x = 443,648,544.51
  5. Step 5: Solve for x
    x = 443,648,544.51/32,479.92
  6. Step 6: Final answer
    x = 13,659.16

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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.