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Finding the Fourth Proportional to 68,643.84, 94,732.20 and 41,782.08

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Solution

The fourth proportional to 68,643.84, 94,732.20 and 41,782.08 is: 57,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,643.84 : 94,732.20 = 41,782.08 : x
  2. Step 2: Convert to fraction form
    68,643.84/94,732.20 = 41,782.08/x
  3. Step 3: Cross multiply
    68,643.84x = 94,732.20 × 41,782.08
  4. Step 4: Simplify right side
    68,643.84x = 3,958,108,358.98
  5. Step 5: Solve for x
    x = 3,958,108,358.98/68,643.84
  6. Step 6: Final answer
    x = 57,661.52

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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.