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Finding the Fourth Proportional to 32,489.94, 48,695.64 and 15,825

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Solution

The fourth proportional to 32,489.94, 48,695.64 and 15,825 is: 23,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489.94 : 48,695.64 = 15,825 : x
  2. Step 2: Convert to fraction form
    32,489.94/48,695.64 = 15,825/x
  3. Step 3: Cross multiply
    32,489.94x = 48,695.64 × 15,825
  4. Step 4: Simplify right side
    32,489.94x = 770,608,503
  5. Step 5: Solve for x
    x = 770,608,503/32,489.94
  6. Step 6: Final answer
    x = 23,718.37

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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.