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Finding the Fourth Proportional to 99,023.50, 148,536.47 and 36,694

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Solution

The fourth proportional to 99,023.50, 148,536.47 and 36,694 is: 55,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,023.50 : 148,536.47 = 36,694 : x
  2. Step 2: Convert to fraction form
    99,023.50/148,536.47 = 36,694/x
  3. Step 3: Cross multiply
    99,023.50x = 148,536.47 × 36,694
  4. Step 4: Simplify right side
    99,023.50x = 5,450,397,230.18
  5. Step 5: Solve for x
    x = 5,450,397,230.18/99,023.50
  6. Step 6: Final answer
    x = 55,041.45

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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.