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Finding the Fourth Proportional to 101,868.58, 152,803.92 and 30,791.80

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Solution

The fourth proportional to 101,868.58, 152,803.92 and 30,791.80 is: 46,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,868.58 : 152,803.92 = 30,791.80 : x
  2. Step 2: Convert to fraction form
    101,868.58/152,803.92 = 30,791.80/x
  3. Step 3: Cross multiply
    101,868.58x = 152,803.92 × 30,791.80
  4. Step 4: Simplify right side
    101,868.58x = 4,705,107,743.86
  5. Step 5: Solve for x
    x = 4,705,107,743.86/101,868.58
  6. Step 6: Final answer
    x = 46,188.02

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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.