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Finding the Fourth Proportional to 32,971.88, 49,405.96 and 25,493.71

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Solution

The fourth proportional to 32,971.88, 49,405.96 and 25,493.71 is: 38,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.88 : 49,405.96 = 25,493.71 : x
  2. Step 2: Convert to fraction form
    32,971.88/49,405.96 = 25,493.71/x
  3. Step 3: Cross multiply
    32,971.88x = 49,405.96 × 25,493.71
  4. Step 4: Simplify right side
    32,971.88x = 1,259,541,152.78
  5. Step 5: Solve for x
    x = 1,259,541,152.78/32,971.88
  6. Step 6: Final answer
    x = 38,200.46

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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.