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Finding the Fourth Proportional to 86,892.64, 130,341.24 and 27,728.25

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Solution

The fourth proportional to 86,892.64, 130,341.24 and 27,728.25 is: 41,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,892.64 : 130,341.24 = 27,728.25 : x
  2. Step 2: Convert to fraction form
    86,892.64/130,341.24 = 27,728.25/x
  3. Step 3: Cross multiply
    86,892.64x = 130,341.24 × 27,728.25
  4. Step 4: Simplify right side
    86,892.64x = 3,614,134,488.03
  5. Step 5: Solve for x
    x = 3,614,134,488.03/86,892.64
  6. Step 6: Final answer
    x = 41,593.10

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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.