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Finding the Fourth Proportional to 32,759.96, 49,162.65 and 14,992.78

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Solution

The fourth proportional to 32,759.96, 49,162.65 and 14,992.78 is: 22,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,759.96 : 49,162.65 = 14,992.78 : x
  2. Step 2: Convert to fraction form
    32,759.96/49,162.65 = 14,992.78/x
  3. Step 3: Cross multiply
    32,759.96x = 49,162.65 × 14,992.78
  4. Step 4: Simplify right side
    32,759.96x = 737,084,795.67
  5. Step 5: Solve for x
    x = 737,084,795.67/32,759.96
  6. Step 6: Final answer
    x = 22,499.57

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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.