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Finding the Fourth Proportional to 35,892.50, 49,531.15 and 19,976.95

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Solution

The fourth proportional to 35,892.50, 49,531.15 and 19,976.95 is: 27,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,892.50 : 49,531.15 = 19,976.95 : x
  2. Step 2: Convert to fraction form
    35,892.50/49,531.15 = 19,976.95/x
  3. Step 3: Cross multiply
    35,892.50x = 49,531.15 × 19,976.95
  4. Step 4: Simplify right side
    35,892.50x = 989,481,207.11
  5. Step 5: Solve for x
    x = 989,481,207.11/35,892.50
  6. Step 6: Final answer
    x = 27,567.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.