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Finding the Fourth Proportional to 32,002.87, 48,002.50 and 9,816.18

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Solution

The fourth proportional to 32,002.87, 48,002.50 and 9,816.18 is: 14,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.87 : 48,002.50 = 9,816.18 : x
  2. Step 2: Convert to fraction form
    32,002.87/48,002.50 = 9,816.18/x
  3. Step 3: Cross multiply
    32,002.87x = 48,002.50 × 9,816.18
  4. Step 4: Simplify right side
    32,002.87x = 471,201,180.45
  5. Step 5: Solve for x
    x = 471,201,180.45/32,002.87
  6. Step 6: Final answer
    x = 14,723.72

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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.