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Finding the Fourth Proportional to 49,901.64, 74,866.68 and 16,643.49

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Solution

The fourth proportional to 49,901.64, 74,866.68 and 16,643.49 is: 24,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,901.64 : 74,866.68 = 16,643.49 : x
  2. Step 2: Convert to fraction form
    49,901.64/74,866.68 = 16,643.49/x
  3. Step 3: Cross multiply
    49,901.64x = 74,866.68 × 16,643.49
  4. Step 4: Simplify right side
    49,901.64x = 1,246,042,839.91
  5. Step 5: Solve for x
    x = 1,246,042,839.91/49,901.64
  6. Step 6: Final answer
    x = 24,969.98

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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.