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Finding the Fourth Proportional to 100,714.95, 151,041.49 and 33,234.53

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Solution

The fourth proportional to 100,714.95, 151,041.49 and 33,234.53 is: 49,841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,714.95 : 151,041.49 = 33,234.53 : x
  2. Step 2: Convert to fraction form
    100,714.95/151,041.49 = 33,234.53/x
  3. Step 3: Cross multiply
    100,714.95x = 151,041.49 × 33,234.53
  4. Step 4: Simplify right side
    100,714.95x = 5,019,792,092.36
  5. Step 5: Solve for x
    x = 5,019,792,092.36/100,714.95
  6. Step 6: Final answer
    x = 49,841.58

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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.