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Finding the Fourth Proportional to 76,267, 114,291.48 and 33,521.20

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Solution

The fourth proportional to 76,267, 114,291.48 and 33,521.20 is: 50,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,267 : 114,291.48 = 33,521.20 : x
  2. Step 2: Convert to fraction form
    76,267/114,291.48 = 33,521.20/x
  3. Step 3: Cross multiply
    76,267x = 114,291.48 × 33,521.20
  4. Step 4: Simplify right side
    76,267x = 3,831,187,559.38
  5. Step 5: Solve for x
    x = 3,831,187,559.38/76,267
  6. Step 6: Final answer
    x = 50,233.88

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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.