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Finding the Fourth Proportional to 32,353.29, 48,530.21 and 10,166.18

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Solution

The fourth proportional to 32,353.29, 48,530.21 and 10,166.18 is: 15,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,353.29 : 48,530.21 = 10,166.18 : x
  2. Step 2: Convert to fraction form
    32,353.29/48,530.21 = 10,166.18/x
  3. Step 3: Cross multiply
    32,353.29x = 48,530.21 × 10,166.18
  4. Step 4: Simplify right side
    32,353.29x = 493,366,556.82
  5. Step 5: Solve for x
    x = 493,366,556.82/32,353.29
  6. Step 6: Final answer
    x = 15,249.35

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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.