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Finding the Fourth Proportional to 32,257.89, 48,390.48 and 10,065.33

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Solution

The fourth proportional to 32,257.89, 48,390.48 and 10,065.33 is: 15,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257.89 : 48,390.48 = 10,065.33 : x
  2. Step 2: Convert to fraction form
    32,257.89/48,390.48 = 10,065.33/x
  3. Step 3: Cross multiply
    32,257.89x = 48,390.48 × 10,065.33
  4. Step 4: Simplify right side
    32,257.89x = 487,066,150.06
  5. Step 5: Solve for x
    x = 487,066,150.06/32,257.89
  6. Step 6: Final answer
    x = 15,099.13

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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.