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Finding the Fourth Proportional to 32,309.92, 48,488.55 and 21,212.70

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Solution

The fourth proportional to 32,309.92, 48,488.55 and 21,212.70 is: 31,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.92 : 48,488.55 = 21,212.70 : x
  2. Step 2: Convert to fraction form
    32,309.92/48,488.55 = 21,212.70/x
  3. Step 3: Cross multiply
    32,309.92x = 48,488.55 × 21,212.70
  4. Step 4: Simplify right side
    32,309.92x = 1,028,573,064.59
  5. Step 5: Solve for x
    x = 1,028,573,064.59/32,309.92
  6. Step 6: Final answer
    x = 31,834.59

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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.