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Finding the Fourth Proportional to 70,494.72, 105,699.84 and 22,442.56

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Solution

The fourth proportional to 70,494.72, 105,699.84 and 22,442.56 is: 33,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494.72 : 105,699.84 = 22,442.56 : x
  2. Step 2: Convert to fraction form
    70,494.72/105,699.84 = 22,442.56/x
  3. Step 3: Cross multiply
    70,494.72x = 105,699.84 × 22,442.56
  4. Step 4: Simplify right side
    70,494.72x = 2,372,175,001.19
  5. Step 5: Solve for x
    x = 2,372,175,001.19/70,494.72
  6. Step 6: Final answer
    x = 33,650.39

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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.