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Finding the Fourth Proportional to 86,052.36, 118,769.34 and 54,987.74

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Solution

The fourth proportional to 86,052.36, 118,769.34 and 54,987.74 is: 75,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,052.36 : 118,769.34 = 54,987.74 : x
  2. Step 2: Convert to fraction form
    86,052.36/118,769.34 = 54,987.74/x
  3. Step 3: Cross multiply
    86,052.36x = 118,769.34 × 54,987.74
  4. Step 4: Simplify right side
    86,052.36x = 6,530,858,004.41
  5. Step 5: Solve for x
    x = 6,530,858,004.41/86,052.36
  6. Step 6: Final answer
    x = 75,894.00

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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.