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Finding the Fourth Proportional to 68,442.30, 94,449.42 and 38,228.16

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Solution

The fourth proportional to 68,442.30, 94,449.42 and 38,228.16 is: 52,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,442.30 : 94,449.42 = 38,228.16 : x
  2. Step 2: Convert to fraction form
    68,442.30/94,449.42 = 38,228.16/x
  3. Step 3: Cross multiply
    68,442.30x = 94,449.42 × 38,228.16
  4. Step 4: Simplify right side
    68,442.30x = 3,610,627,539.67
  5. Step 5: Solve for x
    x = 3,610,627,539.67/68,442.30
  6. Step 6: Final answer
    x = 52,754.33

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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.