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Finding the Fourth Proportional to 73,161.31, 109,710.98 and 23,228

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Solution

The fourth proportional to 73,161.31, 109,710.98 and 23,228 is: 34,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,161.31 : 109,710.98 = 23,228 : x
  2. Step 2: Convert to fraction form
    73,161.31/109,710.98 = 23,228/x
  3. Step 3: Cross multiply
    73,161.31x = 109,710.98 × 23,228
  4. Step 4: Simplify right side
    73,161.31x = 2,548,366,643.44
  5. Step 5: Solve for x
    x = 2,548,366,643.44/73,161.31
  6. Step 6: Final answer
    x = 34,832.16

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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.