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Finding the Fourth Proportional to 83,650.74, 115,420.98 and 47,852.79

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Solution

The fourth proportional to 83,650.74, 115,420.98 and 47,852.79 is: 66,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,650.74 : 115,420.98 = 47,852.79 : x
  2. Step 2: Convert to fraction form
    83,650.74/115,420.98 = 47,852.79/x
  3. Step 3: Cross multiply
    83,650.74x = 115,420.98 × 47,852.79
  4. Step 4: Simplify right side
    83,650.74x = 5,523,215,917.53
  5. Step 5: Solve for x
    x = 5,523,215,917.53/83,650.74
  6. Step 6: Final answer
    x = 66,027.10

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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.