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Finding the Fourth Proportional to 43,344, 59,814.72 and 23,472

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Solution

The fourth proportional to 43,344, 59,814.72 and 23,472 is: 32,391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,344 : 59,814.72 = 23,472 : x
  2. Step 2: Convert to fraction form
    43,344/59,814.72 = 23,472/x
  3. Step 3: Cross multiply
    43,344x = 59,814.72 × 23,472
  4. Step 4: Simplify right side
    43,344x = 1,403,971,107.84
  5. Step 5: Solve for x
    x = 1,403,971,107.84/43,344
  6. Step 6: Final answer
    x = 32,391.36

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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.