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Finding the Fourth Proportional to 32,407.76, 48,621.72 and 27,513.20

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Solution

The fourth proportional to 32,407.76, 48,621.72 and 27,513.20 is: 41,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.76 : 48,621.72 = 27,513.20 : x
  2. Step 2: Convert to fraction form
    32,407.76/48,621.72 = 27,513.20/x
  3. Step 3: Cross multiply
    32,407.76x = 48,621.72 × 27,513.20
  4. Step 4: Simplify right side
    32,407.76x = 1,337,739,106.70
  5. Step 5: Solve for x
    x = 1,337,739,106.70/32,407.76
  6. Step 6: Final answer
    x = 41,278.36

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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.