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Finding the Fourth Proportional to 33,610, 50,420.46 and 10,231

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Solution

The fourth proportional to 33,610, 50,420.46 and 10,231 is: 15,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,610 : 50,420.46 = 10,231 : x
  2. Step 2: Convert to fraction form
    33,610/50,420.46 = 10,231/x
  3. Step 3: Cross multiply
    33,610x = 50,420.46 × 10,231
  4. Step 4: Simplify right side
    33,610x = 515,851,726.26
  5. Step 5: Solve for x
    x = 515,851,726.26/33,610
  6. Step 6: Final answer
    x = 15,348.16

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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.