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Finding the Fourth Proportional to 28,278.72, 42,418.80 and 19,512

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Solution

The fourth proportional to 28,278.72, 42,418.80 and 19,512 is: 29,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,278.72 : 42,418.80 = 19,512 : x
  2. Step 2: Convert to fraction form
    28,278.72/42,418.80 = 19,512/x
  3. Step 3: Cross multiply
    28,278.72x = 42,418.80 × 19,512
  4. Step 4: Simplify right side
    28,278.72x = 827,675,625.60
  5. Step 5: Solve for x
    x = 827,675,625.60/28,278.72
  6. Step 6: Final answer
    x = 29,268.50

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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.