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Finding the Fourth Proportional to 101,517.42, 152,188.62 and 48,963.84

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Solution

The fourth proportional to 101,517.42, 152,188.62 and 48,963.84 is: 73,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,517.42 : 152,188.62 = 48,963.84 : x
  2. Step 2: Convert to fraction form
    101,517.42/152,188.62 = 48,963.84/x
  3. Step 3: Cross multiply
    101,517.42x = 152,188.62 × 48,963.84
  4. Step 4: Simplify right side
    101,517.42x = 7,451,739,239.50
  5. Step 5: Solve for x
    x = 7,451,739,239.50/101,517.42
  6. Step 6: Final answer
    x = 73,403.55

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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.