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Finding the Fourth Proportional to 71,833.93, 107,726.54 and 24,436.33

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Solution

The fourth proportional to 71,833.93, 107,726.54 and 24,436.33 is: 36,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,833.93 : 107,726.54 = 24,436.33 : x
  2. Step 2: Convert to fraction form
    71,833.93/107,726.54 = 24,436.33/x
  3. Step 3: Cross multiply
    71,833.93x = 107,726.54 × 24,436.33
  4. Step 4: Simplify right side
    71,833.93x = 2,632,440,889.70
  5. Step 5: Solve for x
    x = 2,632,440,889.70/71,833.93
  6. Step 6: Final answer
    x = 36,646.21

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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.