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Finding the Fourth Proportional to 32,199.20, 48,302.40 and 10,012.40

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Solution

The fourth proportional to 32,199.20, 48,302.40 and 10,012.40 is: 15,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.20 : 48,302.40 = 10,012.40 : x
  2. Step 2: Convert to fraction form
    32,199.20/48,302.40 = 10,012.40/x
  3. Step 3: Cross multiply
    32,199.20x = 48,302.40 × 10,012.40
  4. Step 4: Simplify right side
    32,199.20x = 483,622,949.76
  5. Step 5: Solve for x
    x = 483,622,949.76/32,199.20
  6. Step 6: Final answer
    x = 15,019.72

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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.