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Finding the Fourth Proportional to 86,954.88, 130,441.86 and 27,776.64

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Solution

The fourth proportional to 86,954.88, 130,441.86 and 27,776.64 is: 41,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,954.88 : 130,441.86 = 27,776.64 : x
  2. Step 2: Convert to fraction form
    86,954.88/130,441.86 = 27,776.64/x
  3. Step 3: Cross multiply
    86,954.88x = 130,441.86 × 27,776.64
  4. Step 4: Simplify right side
    86,954.88x = 3,623,236,586.15
  5. Step 5: Solve for x
    x = 3,623,236,586.15/86,954.88
  6. Step 6: Final answer
    x = 41,668.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.