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Finding the Fourth Proportional to 32,554.92, 48,832.38 and 10,375.11

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Solution

The fourth proportional to 32,554.92, 48,832.38 and 10,375.11 is: 15,562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,554.92 : 48,832.38 = 10,375.11 : x
  2. Step 2: Convert to fraction form
    32,554.92/48,832.38 = 10,375.11/x
  3. Step 3: Cross multiply
    32,554.92x = 48,832.38 × 10,375.11
  4. Step 4: Simplify right side
    32,554.92x = 506,641,314.06
  5. Step 5: Solve for x
    x = 506,641,314.06/32,554.92
  6. Step 6: Final answer
    x = 15,562.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.