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Finding the Fourth Proportional to 43,872.48, 65,810.16 and 12,708

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Solution

The fourth proportional to 43,872.48, 65,810.16 and 12,708 is: 19,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,872.48 : 65,810.16 = 12,708 : x
  2. Step 2: Convert to fraction form
    43,872.48/65,810.16 = 12,708/x
  3. Step 3: Cross multiply
    43,872.48x = 65,810.16 × 12,708
  4. Step 4: Simplify right side
    43,872.48x = 836,315,513.28
  5. Step 5: Solve for x
    x = 836,315,513.28/43,872.48
  6. Step 6: Final answer
    x = 19,062.42

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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.