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Finding the Fourth Proportional to 51,441, 77,171.10 and 23,363.02

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Solution

The fourth proportional to 51,441, 77,171.10 and 23,363.02 is: 35,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,441 : 77,171.10 = 23,363.02 : x
  2. Step 2: Convert to fraction form
    51,441/77,171.10 = 23,363.02/x
  3. Step 3: Cross multiply
    51,441x = 77,171.10 × 23,363.02
  4. Step 4: Simplify right side
    51,441x = 1,802,949,952.72
  5. Step 5: Solve for x
    x = 1,802,949,952.72/51,441
  6. Step 6: Final answer
    x = 35,048.89

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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.