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Finding the Fourth Proportional to 77,083.96, 115,638.90 and 24,508.28

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Solution

The fourth proportional to 77,083.96, 115,638.90 and 24,508.28 is: 36,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,083.96 : 115,638.90 = 24,508.28 : x
  2. Step 2: Convert to fraction form
    77,083.96/115,638.90 = 24,508.28/x
  3. Step 3: Cross multiply
    77,083.96x = 115,638.90 × 24,508.28
  4. Step 4: Simplify right side
    77,083.96x = 2,834,110,540.09
  5. Step 5: Solve for x
    x = 2,834,110,540.09/77,083.96
  6. Step 6: Final answer
    x = 36,766.54

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1.5x scale

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.