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Finding the Fourth Proportional to 65,906.69, 98,876.90 and 19,159.57

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Solution

The fourth proportional to 65,906.69, 98,876.90 and 19,159.57 is: 28,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,906.69 : 98,876.90 = 19,159.57 : x
  2. Step 2: Convert to fraction form
    65,906.69/98,876.90 = 19,159.57/x
  3. Step 3: Cross multiply
    65,906.69x = 98,876.90 × 19,159.57
  4. Step 4: Simplify right side
    65,906.69x = 1,894,438,296.75
  5. Step 5: Solve for x
    x = 1,894,438,296.75/65,906.69
  6. Step 6: Final answer
    x = 28,744.25

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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.