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Finding the Fourth Proportional to 32,488.93, 48,694.15 and 15,823.99

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Solution

The fourth proportional to 32,488.93, 48,694.15 and 15,823.99 is: 23,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488.93 : 48,694.15 = 15,823.99 : x
  2. Step 2: Convert to fraction form
    32,488.93/48,694.15 = 15,823.99/x
  3. Step 3: Cross multiply
    32,488.93x = 48,694.15 × 15,823.99
  4. Step 4: Simplify right side
    32,488.93x = 770,535,742.66
  5. Step 5: Solve for x
    x = 770,535,742.66/32,488.93
  6. Step 6: Final answer
    x = 23,716.87

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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.