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Finding the Fourth Proportional to 71,796, 107,699.76 and 22,548

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Solution

The fourth proportional to 71,796, 107,699.76 and 22,548 is: 33,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,796 : 107,699.76 = 22,548 : x
  2. Step 2: Convert to fraction form
    71,796/107,699.76 = 22,548/x
  3. Step 3: Cross multiply
    71,796x = 107,699.76 × 22,548
  4. Step 4: Simplify right side
    71,796x = 2,428,414,188.48
  5. Step 5: Solve for x
    x = 2,428,414,188.48/71,796
  6. Step 6: Final answer
    x = 33,823.81

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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.