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Finding the Fourth Proportional to 86,102.46, 118,824.03 and 52,117.16

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Solution

The fourth proportional to 86,102.46, 118,824.03 and 52,117.16 is: 71,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,102.46 : 118,824.03 = 52,117.16 : x
  2. Step 2: Convert to fraction form
    86,102.46/118,824.03 = 52,117.16/x
  3. Step 3: Cross multiply
    86,102.46x = 118,824.03 × 52,117.16
  4. Step 4: Simplify right side
    86,102.46x = 6,192,770,389.23
  5. Step 5: Solve for x
    x = 6,192,770,389.23/86,102.46
  6. Step 6: Final answer
    x = 71,923.27

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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.