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Finding the Fourth Proportional to 32,052.65, 48,084.20 and 9,866.03

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Solution

The fourth proportional to 32,052.65, 48,084.20 and 9,866.03 is: 14,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,052.65 : 48,084.20 = 9,866.03 : x
  2. Step 2: Convert to fraction form
    32,052.65/48,084.20 = 9,866.03/x
  3. Step 3: Cross multiply
    32,052.65x = 48,084.20 × 9,866.03
  4. Step 4: Simplify right side
    32,052.65x = 474,400,110.40
  5. Step 5: Solve for x
    x = 474,400,110.40/32,052.65
  6. Step 6: Final answer
    x = 14,800.65

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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.