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Finding the Fourth Proportional to 32,082.86, 48,124.32 and 8,709.30

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Solution

The fourth proportional to 32,082.86, 48,124.32 and 8,709.30 is: 13,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.86 : 48,124.32 = 8,709.30 : x
  2. Step 2: Convert to fraction form
    32,082.86/48,124.32 = 8,709.30/x
  3. Step 3: Cross multiply
    32,082.86x = 48,124.32 × 8,709.30
  4. Step 4: Simplify right side
    32,082.86x = 419,129,140.18
  5. Step 5: Solve for x
    x = 419,129,140.18/32,082.86
  6. Step 6: Final answer
    x = 13,063.96

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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.