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Finding the Fourth Proportional to 32,780.81, 49,179.86 and 11,722.94

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Solution

The fourth proportional to 32,780.81, 49,179.86 and 11,722.94 is: 17,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.81 : 49,179.86 = 11,722.94 : x
  2. Step 2: Convert to fraction form
    32,780.81/49,179.86 = 11,722.94/x
  3. Step 3: Cross multiply
    32,780.81x = 49,179.86 × 11,722.94
  4. Step 4: Simplify right side
    32,780.81x = 576,532,471.86
  5. Step 5: Solve for x
    x = 576,532,471.86/32,780.81
  6. Step 6: Final answer
    x = 17,587.50

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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.