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Finding the Fourth Proportional to 32,076.90, 47,868.06 and 28,189.68

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Solution

The fourth proportional to 32,076.90, 47,868.06 and 28,189.68 is: 42,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.90 : 47,868.06 = 28,189.68 : x
  2. Step 2: Convert to fraction form
    32,076.90/47,868.06 = 28,189.68/x
  3. Step 3: Cross multiply
    32,076.90x = 47,868.06 × 28,189.68
  4. Step 4: Simplify right side
    32,076.90x = 1,349,385,293.62
  5. Step 5: Solve for x
    x = 1,349,385,293.62/32,076.90
  6. Step 6: Final answer
    x = 42,067.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.