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Finding the Fourth Proportional to 70,095.85, 105,092.84 and 27,963.29

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Solution

The fourth proportional to 70,095.85, 105,092.84 and 27,963.29 is: 41,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,095.85 : 105,092.84 = 27,963.29 : x
  2. Step 2: Convert to fraction form
    70,095.85/105,092.84 = 27,963.29/x
  3. Step 3: Cross multiply
    70,095.85x = 105,092.84 × 27,963.29
  4. Step 4: Simplify right side
    70,095.85x = 2,938,741,894.48
  5. Step 5: Solve for x
    x = 2,938,741,894.48/70,095.85
  6. Step 6: Final answer
    x = 41,924.62

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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.