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Finding the Fourth Proportional to 73,829.40, 110,726.10 and 21,233.40

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Solution

The fourth proportional to 73,829.40, 110,726.10 and 21,233.40 is: 31,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,829.40 : 110,726.10 = 21,233.40 : x
  2. Step 2: Convert to fraction form
    73,829.40/110,726.10 = 21,233.40/x
  3. Step 3: Cross multiply
    73,829.40x = 110,726.10 × 21,233.40
  4. Step 4: Simplify right side
    73,829.40x = 2,351,091,571.74
  5. Step 5: Solve for x
    x = 2,351,091,571.74/73,829.40
  6. Step 6: Final answer
    x = 31,844.92

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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.