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Finding the Fourth Proportional to 49,498, 74,258.68 and 16,666

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Solution

The fourth proportional to 49,498, 74,258.68 and 16,666 is: 25,002.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,498 : 74,258.68 = 16,666 : x
  2. Step 2: Convert to fraction form
    49,498/74,258.68 = 16,666/x
  3. Step 3: Cross multiply
    49,498x = 74,258.68 × 16,666
  4. Step 4: Simplify right side
    49,498x = 1,237,595,160.88
  5. Step 5: Solve for x
    x = 1,237,595,160.88/49,498
  6. Step 6: Final answer
    x = 25,002.93

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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.