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Finding the Fourth Proportional to 45,891.12, 68,843.88 and 19,596

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Solution

The fourth proportional to 45,891.12, 68,843.88 and 19,596 is: 29,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,891.12 : 68,843.88 = 19,596 : x
  2. Step 2: Convert to fraction form
    45,891.12/68,843.88 = 19,596/x
  3. Step 3: Cross multiply
    45,891.12x = 68,843.88 × 19,596
  4. Step 4: Simplify right side
    45,891.12x = 1,349,064,672.48
  5. Step 5: Solve for x
    x = 1,349,064,672.48/45,891.12
  6. Step 6: Final answer
    x = 29,397.07

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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.