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Finding the Fourth Proportional to 99,777.33, 149,742.14 and 36,657.27

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Solution

The fourth proportional to 99,777.33, 149,742.14 and 36,657.27 is: 55,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,777.33 : 149,742.14 = 36,657.27 : x
  2. Step 2: Convert to fraction form
    99,777.33/149,742.14 = 36,657.27/x
  3. Step 3: Cross multiply
    99,777.33x = 149,742.14 × 36,657.27
  4. Step 4: Simplify right side
    99,777.33x = 5,489,137,873.07
  5. Step 5: Solve for x
    x = 5,489,137,873.07/99,777.33
  6. Step 6: Final answer
    x = 55,013.88

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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.