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Finding the Fourth Proportional to 99,172.82, 148,758.93 and 35,992.87

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Solution

The fourth proportional to 99,172.82, 148,758.93 and 35,992.87 is: 53,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,172.82 : 148,758.93 = 35,992.87 : x
  2. Step 2: Convert to fraction form
    99,172.82/148,758.93 = 35,992.87/x
  3. Step 3: Cross multiply
    99,172.82x = 148,758.93 × 35,992.87
  4. Step 4: Simplify right side
    99,172.82x = 5,354,260,456.93
  5. Step 5: Solve for x
    x = 5,354,260,456.93/99,172.82
  6. Step 6: Final answer
    x = 53,989.19

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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.