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Finding the Fourth Proportional to 83,354.86, 115,026.87 and 47,556.46

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Solution

The fourth proportional to 83,354.86, 115,026.87 and 47,556.46 is: 65,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,354.86 : 115,026.87 = 47,556.46 : x
  2. Step 2: Convert to fraction form
    83,354.86/115,026.87 = 47,556.46/x
  3. Step 3: Cross multiply
    83,354.86x = 115,026.87 × 47,556.46
  4. Step 4: Simplify right side
    83,354.86x = 5,470,270,742.08
  5. Step 5: Solve for x
    x = 5,470,270,742.08/83,354.86
  6. Step 6: Final answer
    x = 65,626.30

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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.