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Finding the Fourth Proportional to 68,659.20, 102,892.80 and 54,643.20

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Solution

The fourth proportional to 68,659.20, 102,892.80 and 54,643.20 is: 81,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,659.20 : 102,892.80 = 54,643.20 : x
  2. Step 2: Convert to fraction form
    68,659.20/102,892.80 = 54,643.20/x
  3. Step 3: Cross multiply
    68,659.20x = 102,892.80 × 54,643.20
  4. Step 4: Simplify right side
    68,659.20x = 5,622,391,848.96
  5. Step 5: Solve for x
    x = 5,622,391,848.96/68,659.20
  6. Step 6: Final answer
    x = 81,888.40

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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.