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Finding the Fourth Proportional to 68,441.96, 94,443.14 and 38,224.84

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Solution

The fourth proportional to 68,441.96, 94,443.14 and 38,224.84 is: 52,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,441.96 : 94,443.14 = 38,224.84 : x
  2. Step 2: Convert to fraction form
    68,441.96/94,443.14 = 38,224.84/x
  3. Step 3: Cross multiply
    68,441.96x = 94,443.14 × 38,224.84
  4. Step 4: Simplify right side
    68,441.96x = 3,610,073,915.60
  5. Step 5: Solve for x
    x = 3,610,073,915.60/68,441.96
  6. Step 6: Final answer
    x = 52,746.50

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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.