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Finding the Fourth Proportional to 92,638.22, 138,976.88 and 35,713.58

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Solution

The fourth proportional to 92,638.22, 138,976.88 and 35,713.58 is: 53,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,638.22 : 138,976.88 = 35,713.58 : x
  2. Step 2: Convert to fraction form
    92,638.22/138,976.88 = 35,713.58/x
  3. Step 3: Cross multiply
    92,638.22x = 138,976.88 × 35,713.58
  4. Step 4: Simplify right side
    92,638.22x = 4,963,361,048.58
  5. Step 5: Solve for x
    x = 4,963,361,048.58/92,638.22
  6. Step 6: Final answer
    x = 53,577.90

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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.