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Finding the Fourth Proportional to 32,807.69, 49,221.89 and 24,947.85

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Solution

The fourth proportional to 32,807.69, 49,221.89 and 24,947.85 is: 37,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,807.69 : 49,221.89 = 24,947.85 : x
  2. Step 2: Convert to fraction form
    32,807.69/49,221.89 = 24,947.85/x
  3. Step 3: Cross multiply
    32,807.69x = 49,221.89 × 24,947.85
  4. Step 4: Simplify right side
    32,807.69x = 1,227,980,328.44
  5. Step 5: Solve for x
    x = 1,227,980,328.44/32,807.69
  6. Step 6: Final answer
    x = 37,429.65

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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.