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Finding the Fourth Proportional to 30,648.78, 42,278.22 and 21,087.54

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Solution

The fourth proportional to 30,648.78, 42,278.22 and 21,087.54 is: 29,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.78 : 42,278.22 = 21,087.54 : x
  2. Step 2: Convert to fraction form
    30,648.78/42,278.22 = 21,087.54/x
  3. Step 3: Cross multiply
    30,648.78x = 42,278.22 × 21,087.54
  4. Step 4: Simplify right side
    30,648.78x = 891,543,655.38
  5. Step 5: Solve for x
    x = 891,543,655.38/30,648.78
  6. Step 6: Final answer
    x = 29,089.04

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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.