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Finding the Fourth Proportional to 116,498, 174,747 and 28,946

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Solution

The fourth proportional to 116,498, 174,747 and 28,946 is: 43,419

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,498 : 174,747 = 28,946 : x
  2. Step 2: Convert to fraction form
    116,498/174,747 = 28,946/x
  3. Step 3: Cross multiply
    116,498x = 174,747 × 28,946
  4. Step 4: Simplify right side
    116,498x = 5,058,226,662
  5. Step 5: Solve for x
    x = 5,058,226,662/116,498
  6. Step 6: Final answer
    x = 43,419

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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.