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Finding the Fourth Proportional to 45,493.44, 68,240.16 and 17,772

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Solution

The fourth proportional to 45,493.44, 68,240.16 and 17,772 is: 26,658

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,493.44 : 68,240.16 = 17,772 : x
  2. Step 2: Convert to fraction form
    45,493.44/68,240.16 = 17,772/x
  3. Step 3: Cross multiply
    45,493.44x = 68,240.16 × 17,772
  4. Step 4: Simplify right side
    45,493.44x = 1,212,764,123.52
  5. Step 5: Solve for x
    x = 1,212,764,123.52/45,493.44
  6. Step 6: Final answer
    x = 26,658

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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.