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Finding the Fourth Proportional to 99,175.64, 148,763.16 and 35,995.69

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Solution

The fourth proportional to 99,175.64, 148,763.16 and 35,995.69 is: 53,993.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,175.64 : 148,763.16 = 35,995.69 : x
  2. Step 2: Convert to fraction form
    99,175.64/148,763.16 = 35,995.69/x
  3. Step 3: Cross multiply
    99,175.64x = 148,763.16 × 35,995.69
  4. Step 4: Simplify right side
    99,175.64x = 5,354,832,675.50
  5. Step 5: Solve for x
    x = 5,354,832,675.50/99,175.64
  6. Step 6: Final answer
    x = 53,993.43

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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.