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Finding the Fourth Proportional to 83,954.98, 115,831.84 and 47,650.50

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Solution

The fourth proportional to 83,954.98, 115,831.84 and 47,650.50 is: 65,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,954.98 : 115,831.84 = 47,650.50 : x
  2. Step 2: Convert to fraction form
    83,954.98/115,831.84 = 47,650.50/x
  3. Step 3: Cross multiply
    83,954.98x = 115,831.84 × 47,650.50
  4. Step 4: Simplify right side
    83,954.98x = 5,519,445,091.92
  5. Step 5: Solve for x
    x = 5,519,445,091.92/83,954.98
  6. Step 6: Final answer
    x = 65,742.91

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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.