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Finding the Fourth Proportional to 101,335.25, 152,010.51 and 30,252.27

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Solution

The fourth proportional to 101,335.25, 152,010.51 and 30,252.27 is: 45,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,335.25 : 152,010.51 = 30,252.27 : x
  2. Step 2: Convert to fraction form
    101,335.25/152,010.51 = 30,252.27/x
  3. Step 3: Cross multiply
    101,335.25x = 152,010.51 × 30,252.27
  4. Step 4: Simplify right side
    101,335.25x = 4,598,662,991.36
  5. Step 5: Solve for x
    x = 4,598,662,991.36/101,335.25
  6. Step 6: Final answer
    x = 45,380.69

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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.