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Finding the Fourth Proportional to 68,053.88, 93,909.90 and 37,838.09

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Solution

The fourth proportional to 68,053.88, 93,909.90 and 37,838.09 is: 52,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,053.88 : 93,909.90 = 37,838.09 : x
  2. Step 2: Convert to fraction form
    68,053.88/93,909.90 = 37,838.09/x
  3. Step 3: Cross multiply
    68,053.88x = 93,909.90 × 37,838.09
  4. Step 4: Simplify right side
    68,053.88x = 3,553,370,778.54
  5. Step 5: Solve for x
    x = 3,553,370,778.54/68,053.88
  6. Step 6: Final answer
    x = 52,214.08

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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.