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Finding the Fourth Proportional to 42,864, 64,330.56 and 22,093.44

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Solution

The fourth proportional to 42,864, 64,330.56 and 22,093.44 is: 33,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,864 : 64,330.56 = 22,093.44 : x
  2. Step 2: Convert to fraction form
    42,864/64,330.56 = 22,093.44/x
  3. Step 3: Cross multiply
    42,864x = 64,330.56 × 22,093.44
  4. Step 4: Simplify right side
    42,864x = 1,421,283,367.53
  5. Step 5: Solve for x
    x = 1,421,283,367.53/42,864
  6. Step 6: Final answer
    x = 33,157.97

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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.