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Finding the Fourth Proportional to 78,567.96, 117,853 and 22,408.08

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Solution

The fourth proportional to 78,567.96, 117,853 and 22,408.08 is: 33,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,567.96 : 117,853 = 22,408.08 : x
  2. Step 2: Convert to fraction form
    78,567.96/117,853 = 22,408.08/x
  3. Step 3: Cross multiply
    78,567.96x = 117,853 × 22,408.08
  4. Step 4: Simplify right side
    78,567.96x = 2,640,859,452.24
  5. Step 5: Solve for x
    x = 2,640,859,452.24/78,567.96
  6. Step 6: Final answer
    x = 33,612.42

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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.