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Finding the Fourth Proportional to 32,352.83, 48,530.90 and 10,166.43

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Solution

The fourth proportional to 32,352.83, 48,530.90 and 10,166.43 is: 15,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,352.83 : 48,530.90 = 10,166.43 : x
  2. Step 2: Convert to fraction form
    32,352.83/48,530.90 = 10,166.43/x
  3. Step 3: Cross multiply
    32,352.83x = 48,530.90 × 10,166.43
  4. Step 4: Simplify right side
    32,352.83x = 493,385,874.92
  5. Step 5: Solve for x
    x = 493,385,874.92/32,352.83
  6. Step 6: Final answer
    x = 15,250.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.