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Finding the Fourth Proportional to 109,394.98, 164,092.47 and 34,522.70

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Solution

The fourth proportional to 109,394.98, 164,092.47 and 34,522.70 is: 51,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,394.98 : 164,092.47 = 34,522.70 : x
  2. Step 2: Convert to fraction form
    109,394.98/164,092.47 = 34,522.70/x
  3. Step 3: Cross multiply
    109,394.98x = 164,092.47 × 34,522.70
  4. Step 4: Simplify right side
    109,394.98x = 5,664,915,114.07
  5. Step 5: Solve for x
    x = 5,664,915,114.07/109,394.98
  6. Step 6: Final answer
    x = 51,784.05

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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.