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Finding the Fourth Proportional to 72,286, 99,816.24 and 45,473.38

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Solution

The fourth proportional to 72,286, 99,816.24 and 45,473.38 is: 62,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,286 : 99,816.24 = 45,473.38 : x
  2. Step 2: Convert to fraction form
    72,286/99,816.24 = 45,473.38/x
  3. Step 3: Cross multiply
    72,286x = 99,816.24 × 45,473.38
  4. Step 4: Simplify right side
    72,286x = 4,538,981,811.69
  5. Step 5: Solve for x
    x = 4,538,981,811.69/72,286
  6. Step 6: Final answer
    x = 62,791.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.