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Finding the Fourth Proportional to 32,176.56, 48,272.13 and 11,400.06

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Solution

The fourth proportional to 32,176.56, 48,272.13 and 11,400.06 is: 17,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.56 : 48,272.13 = 11,400.06 : x
  2. Step 2: Convert to fraction form
    32,176.56/48,272.13 = 11,400.06/x
  3. Step 3: Cross multiply
    32,176.56x = 48,272.13 × 11,400.06
  4. Step 4: Simplify right side
    32,176.56x = 550,305,178.33
  5. Step 5: Solve for x
    x = 550,305,178.33/32,176.56
  6. Step 6: Final answer
    x = 17,102.67

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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.