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Finding the Fourth Proportional to 86,793.40, 130,165.80 and 27,647.20

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Solution

The fourth proportional to 86,793.40, 130,165.80 and 27,647.20 is: 41,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,793.40 : 130,165.80 = 27,647.20 : x
  2. Step 2: Convert to fraction form
    86,793.40/130,165.80 = 27,647.20/x
  3. Step 3: Cross multiply
    86,793.40x = 130,165.80 × 27,647.20
  4. Step 4: Simplify right side
    86,793.40x = 3,598,719,905.76
  5. Step 5: Solve for x
    x = 3,598,719,905.76/86,793.40
  6. Step 6: Final answer
    x = 41,463.06

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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.