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Finding the Fourth Proportional to 32,988.76, 49,469.46 and 22,989.31

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Solution

The fourth proportional to 32,988.76, 49,469.46 and 22,989.31 is: 34,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988.76 : 49,469.46 = 22,989.31 : x
  2. Step 2: Convert to fraction form
    32,988.76/49,469.46 = 22,989.31/x
  3. Step 3: Cross multiply
    32,988.76x = 49,469.46 × 22,989.31
  4. Step 4: Simplify right side
    32,988.76x = 1,137,268,751.47
  5. Step 5: Solve for x
    x = 1,137,268,751.47/32,988.76
  6. Step 6: Final answer
    x = 34,474.43

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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.