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Finding the Fourth Proportional to 43,813, 65,719.86 and 12,648.52

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Solution

The fourth proportional to 43,813, 65,719.86 and 12,648.52 is: 18,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,813 : 65,719.86 = 12,648.52 : x
  2. Step 2: Convert to fraction form
    43,813/65,719.86 = 12,648.52/x
  3. Step 3: Cross multiply
    43,813x = 65,719.86 × 12,648.52
  4. Step 4: Simplify right side
    43,813x = 831,258,963.61
  5. Step 5: Solve for x
    x = 831,258,963.61/43,813
  6. Step 6: Final answer
    x = 18,972.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.