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Finding the Fourth Proportional to 43,537.48, 65,318.10 and 12,373

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Solution

The fourth proportional to 43,537.48, 65,318.10 and 12,373 is: 18,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,537.48 : 65,318.10 = 12,373 : x
  2. Step 2: Convert to fraction form
    43,537.48/65,318.10 = 12,373/x
  3. Step 3: Cross multiply
    43,537.48x = 65,318.10 × 12,373
  4. Step 4: Simplify right side
    43,537.48x = 808,180,851.30
  5. Step 5: Solve for x
    x = 808,180,851.30/43,537.48
  6. Step 6: Final answer
    x = 18,562.88

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Why These Related Problems?

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