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Finding the Fourth Proportional to 32,242.38, 48,357.09 and 10,052.16

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Solution

The fourth proportional to 32,242.38, 48,357.09 and 10,052.16 is: 15,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,242.38 : 48,357.09 = 10,052.16 : x
  2. Step 2: Convert to fraction form
    32,242.38/48,357.09 = 10,052.16/x
  3. Step 3: Cross multiply
    32,242.38x = 48,357.09 × 10,052.16
  4. Step 4: Simplify right side
    32,242.38x = 486,093,205.81
  5. Step 5: Solve for x
    x = 486,093,205.81/32,242.38
  6. Step 6: Final answer
    x = 15,076.22

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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.