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Finding the Fourth Proportional to 32,052.08, 48,074.06 and 9,865.38

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Solution

The fourth proportional to 32,052.08, 48,074.06 and 9,865.38 is: 14,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,052.08 : 48,074.06 = 9,865.38 : x
  2. Step 2: Convert to fraction form
    32,052.08/48,074.06 = 9,865.38/x
  3. Step 3: Cross multiply
    32,052.08x = 48,074.06 × 9,865.38
  4. Step 4: Simplify right side
    32,052.08x = 474,268,870.04
  5. Step 5: Solve for x
    x = 474,268,870.04/32,052.08
  6. Step 6: Final answer
    x = 14,796.82

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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.