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Finding the Fourth Proportional to 32,469.30, 48,740.40 and 25,106.40

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Solution

The fourth proportional to 32,469.30, 48,740.40 and 25,106.40 is: 37,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.30 : 48,740.40 = 25,106.40 : x
  2. Step 2: Convert to fraction form
    32,469.30/48,740.40 = 25,106.40/x
  3. Step 3: Cross multiply
    32,469.30x = 48,740.40 × 25,106.40
  4. Step 4: Simplify right side
    32,469.30x = 1,223,695,978.56
  5. Step 5: Solve for x
    x = 1,223,695,978.56/32,469.30
  6. Step 6: Final answer
    x = 37,687.78

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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.