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Finding the Fourth Proportional to 101,504.62, 152,277.94 and 30,424.38

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Solution

The fourth proportional to 101,504.62, 152,277.94 and 30,424.38 is: 45,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,504.62 : 152,277.94 = 30,424.38 : x
  2. Step 2: Convert to fraction form
    101,504.62/152,277.94 = 30,424.38/x
  3. Step 3: Cross multiply
    101,504.62x = 152,277.94 × 30,424.38
  4. Step 4: Simplify right side
    101,504.62x = 4,632,962,235.73
  5. Step 5: Solve for x
    x = 4,632,962,235.73/101,504.62
  6. Step 6: Final answer
    x = 45,642.87

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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.