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Finding the Fourth Proportional to 99,157.56, 148,738.14 and 36,022.52

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Solution

The fourth proportional to 99,157.56, 148,738.14 and 36,022.52 is: 54,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,157.56 : 148,738.14 = 36,022.52 : x
  2. Step 2: Convert to fraction form
    99,157.56/148,738.14 = 36,022.52/x
  3. Step 3: Cross multiply
    99,157.56x = 148,738.14 × 36,022.52
  4. Step 4: Simplify right side
    99,157.56x = 5,357,922,622.91
  5. Step 5: Solve for x
    x = 5,357,922,622.91/99,157.56
  6. Step 6: Final answer
    x = 54,034.43

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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.