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Finding the Fourth Proportional to 49,531, 74,308.02 and 16,699

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Solution

The fourth proportional to 49,531, 74,308.02 and 16,699 is: 25,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,531 : 74,308.02 = 16,699 : x
  2. Step 2: Convert to fraction form
    49,531/74,308.02 = 16,699/x
  3. Step 3: Cross multiply
    49,531x = 74,308.02 × 16,699
  4. Step 4: Simplify right side
    49,531x = 1,240,869,625.98
  5. Step 5: Solve for x
    x = 1,240,869,625.98/49,531
  6. Step 6: Final answer
    x = 25,052.38

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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.