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Finding the Fourth Proportional to 68,049.12, 93,877.20 and 39,738

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Solution

The fourth proportional to 68,049.12, 93,877.20 and 39,738 is: 54,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,049.12 : 93,877.20 = 39,738 : x
  2. Step 2: Convert to fraction form
    68,049.12/93,877.20 = 39,738/x
  3. Step 3: Cross multiply
    68,049.12x = 93,877.20 × 39,738
  4. Step 4: Simplify right side
    68,049.12x = 3,730,492,173.60
  5. Step 5: Solve for x
    x = 3,730,492,173.60/68,049.12
  6. Step 6: Final answer
    x = 54,820.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.