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Finding the Fourth Proportional to 32,388.68, 48,586.50 and 10,202.72

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Solution

The fourth proportional to 32,388.68, 48,586.50 and 10,202.72 is: 15,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,388.68 : 48,586.50 = 10,202.72 : x
  2. Step 2: Convert to fraction form
    32,388.68/48,586.50 = 10,202.72/x
  3. Step 3: Cross multiply
    32,388.68x = 48,586.50 × 10,202.72
  4. Step 4: Simplify right side
    32,388.68x = 495,714,455.28
  5. Step 5: Solve for x
    x = 495,714,455.28/32,388.68
  6. Step 6: Final answer
    x = 15,305.18

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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.