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Finding the Fourth Proportional to 43,542.90, 60,093.90 and 24,678

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Solution

The fourth proportional to 43,542.90, 60,093.90 and 24,678 is: 34,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,542.90 : 60,093.90 = 24,678 : x
  2. Step 2: Convert to fraction form
    43,542.90/60,093.90 = 24,678/x
  3. Step 3: Cross multiply
    43,542.90x = 60,093.90 × 24,678
  4. Step 4: Simplify right side
    43,542.90x = 1,482,997,264.20
  5. Step 5: Solve for x
    x = 1,482,997,264.20/43,542.90
  6. Step 6: Final answer
    x = 34,058.30

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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.