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Finding the Fourth Proportional to 101,522.88, 152,294.49 and 34,954.20

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Solution

The fourth proportional to 101,522.88, 152,294.49 and 34,954.20 is: 52,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,522.88 : 152,294.49 = 34,954.20 : x
  2. Step 2: Convert to fraction form
    101,522.88/152,294.49 = 34,954.20/x
  3. Step 3: Cross multiply
    101,522.88x = 152,294.49 × 34,954.20
  4. Step 4: Simplify right side
    101,522.88x = 5,323,332,062.36
  5. Step 5: Solve for x
    x = 5,323,332,062.36/101,522.88
  6. Step 6: Final answer
    x = 52,434.80

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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.