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Finding the Fourth Proportional to 70,392.69, 105,562.89 and 22,996.76

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Solution

The fourth proportional to 70,392.69, 105,562.89 and 22,996.76 is: 34,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,392.69 : 105,562.89 = 22,996.76 : x
  2. Step 2: Convert to fraction form
    70,392.69/105,562.89 = 22,996.76/x
  3. Step 3: Cross multiply
    70,392.69x = 105,562.89 × 22,996.76
  4. Step 4: Simplify right side
    70,392.69x = 2,427,603,918.42
  5. Step 5: Solve for x
    x = 2,427,603,918.42/70,392.69
  6. Step 6: Final answer
    x = 34,486.59

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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.