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Finding the Fourth Proportional to 32,072.75, 48,119.48 and 15,430.56

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Solution

The fourth proportional to 32,072.75, 48,119.48 and 15,430.56 is: 23,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,072.75 : 48,119.48 = 15,430.56 : x
  2. Step 2: Convert to fraction form
    32,072.75/48,119.48 = 15,430.56/x
  3. Step 3: Cross multiply
    32,072.75x = 48,119.48 × 15,430.56
  4. Step 4: Simplify right side
    32,072.75x = 742,510,523.31
  5. Step 5: Solve for x
    x = 742,510,523.31/32,072.75
  6. Step 6: Final answer
    x = 23,150.82

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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.