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Finding the Fourth Proportional to 32,740.52, 49,110.24 and 8,116.52

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Solution

The fourth proportional to 32,740.52, 49,110.24 and 8,116.52 is: 12,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,740.52 : 49,110.24 = 8,116.52 : x
  2. Step 2: Convert to fraction form
    32,740.52/49,110.24 = 8,116.52/x
  3. Step 3: Cross multiply
    32,740.52x = 49,110.24 × 8,116.52
  4. Step 4: Simplify right side
    32,740.52x = 398,604,245.16
  5. Step 5: Solve for x
    x = 398,604,245.16/32,740.52
  6. Step 6: Final answer
    x = 12,174.65

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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.