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Finding the Fourth Proportional to 73,046.34, 100,801.62 and 42,422.88

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Solution

The fourth proportional to 73,046.34, 100,801.62 and 42,422.88 is: 58,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,046.34 : 100,801.62 = 42,422.88 : x
  2. Step 2: Convert to fraction form
    73,046.34/100,801.62 = 42,422.88/x
  3. Step 3: Cross multiply
    73,046.34x = 100,801.62 × 42,422.88
  4. Step 4: Simplify right side
    73,046.34x = 4,276,295,029.07
  5. Step 5: Solve for x
    x = 4,276,295,029.07/73,046.34
  6. Step 6: Final answer
    x = 58,542.22

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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.