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Finding the Fourth Proportional to 49,995.48, 74,965.14 and 16,698

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Solution

The fourth proportional to 49,995.48, 74,965.14 and 16,698 is: 25,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,995.48 : 74,965.14 = 16,698 : x
  2. Step 2: Convert to fraction form
    49,995.48/74,965.14 = 16,698/x
  3. Step 3: Cross multiply
    49,995.48x = 74,965.14 × 16,698
  4. Step 4: Simplify right side
    49,995.48x = 1,251,767,907.72
  5. Step 5: Solve for x
    x = 1,251,767,907.72/49,995.48
  6. Step 6: Final answer
    x = 25,037.62

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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.