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Finding the Fourth Proportional to 48,710.72, 73,022.16 and 17,524

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Solution

The fourth proportional to 48,710.72, 73,022.16 and 17,524 is: 26,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,710.72 : 73,022.16 = 17,524 : x
  2. Step 2: Convert to fraction form
    48,710.72/73,022.16 = 17,524/x
  3. Step 3: Cross multiply
    48,710.72x = 73,022.16 × 17,524
  4. Step 4: Simplify right side
    48,710.72x = 1,279,640,331.84
  5. Step 5: Solve for x
    x = 1,279,640,331.84/48,710.72
  6. Step 6: Final answer
    x = 26,270.20

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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.