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Finding the Fourth Proportional to 99,317.16, 148,928.86 and 36,093.24

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Solution

The fourth proportional to 99,317.16, 148,928.86 and 36,093.24 is: 54,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,317.16 : 148,928.86 = 36,093.24 : x
  2. Step 2: Convert to fraction form
    99,317.16/148,928.86 = 36,093.24/x
  3. Step 3: Cross multiply
    99,317.16x = 148,928.86 × 36,093.24
  4. Step 4: Simplify right side
    99,317.16x = 5,375,325,086.91
  5. Step 5: Solve for x
    x = 5,375,325,086.91/99,317.16
  6. Step 6: Final answer
    x = 54,122.82

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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.