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Finding the Fourth Proportional to 74,857.69, 112,288.61 and 24,936.02

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Solution

The fourth proportional to 74,857.69, 112,288.61 and 24,936.02 is: 37,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,857.69 : 112,288.61 = 24,936.02 : x
  2. Step 2: Convert to fraction form
    74,857.69/112,288.61 = 24,936.02/x
  3. Step 3: Cross multiply
    74,857.69x = 112,288.61 × 24,936.02
  4. Step 4: Simplify right side
    74,857.69x = 2,800,031,024.73
  5. Step 5: Solve for x
    x = 2,800,031,024.73/74,857.69
  6. Step 6: Final answer
    x = 37,404.72

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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.