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Finding the Fourth Proportional to 48,231, 72,347.45 and 13,171.59

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Solution

The fourth proportional to 48,231, 72,347.45 and 13,171.59 is: 19,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,231 : 72,347.45 = 13,171.59 : x
  2. Step 2: Convert to fraction form
    48,231/72,347.45 = 13,171.59/x
  3. Step 3: Cross multiply
    48,231x = 72,347.45 × 13,171.59
  4. Step 4: Simplify right side
    48,231x = 952,930,883.09
  5. Step 5: Solve for x
    x = 952,930,883.09/48,231
  6. Step 6: Final answer
    x = 19,757.64

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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.