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Finding the Fourth Proportional to 71,603.28, 107,406 and 24,857.64

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Solution

The fourth proportional to 71,603.28, 107,406 and 24,857.64 is: 37,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,603.28 : 107,406 = 24,857.64 : x
  2. Step 2: Convert to fraction form
    71,603.28/107,406 = 24,857.64/x
  3. Step 3: Cross multiply
    71,603.28x = 107,406 × 24,857.64
  4. Step 4: Simplify right side
    71,603.28x = 2,669,859,681.84
  5. Step 5: Solve for x
    x = 2,669,859,681.84/71,603.28
  6. Step 6: Final answer
    x = 37,286.83

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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.