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Finding the Fourth Proportional to 28,028, 38,678.96 and 19,542.56

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Solution

The fourth proportional to 28,028, 38,678.96 and 19,542.56 is: 26,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,028 : 38,678.96 = 19,542.56 : x
  2. Step 2: Convert to fraction form
    28,028/38,678.96 = 19,542.56/x
  3. Step 3: Cross multiply
    28,028x = 38,678.96 × 19,542.56
  4. Step 4: Simplify right side
    28,028x = 755,885,896.54
  5. Step 5: Solve for x
    x = 755,885,896.54/28,028
  6. Step 6: Final answer
    x = 26,968.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.