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Finding the Fourth Proportional to 68,038.30, 93,894.42 and 37,822.47

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Solution

The fourth proportional to 68,038.30, 93,894.42 and 37,822.47 is: 52,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,038.30 : 93,894.42 = 37,822.47 : x
  2. Step 2: Convert to fraction form
    68,038.30/93,894.42 = 37,822.47/x
  3. Step 3: Cross multiply
    68,038.30x = 93,894.42 × 37,822.47
  4. Step 4: Simplify right side
    68,038.30x = 3,551,318,883.62
  5. Step 5: Solve for x
    x = 3,551,318,883.62/68,038.30
  6. Step 6: Final answer
    x = 52,195.88

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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.