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Finding the Fourth Proportional to 65,905.20, 98,857.80 and 54,095.40

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Solution

The fourth proportional to 65,905.20, 98,857.80 and 54,095.40 is: 81,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,905.20 : 98,857.80 = 54,095.40 : x
  2. Step 2: Convert to fraction form
    65,905.20/98,857.80 = 54,095.40/x
  3. Step 3: Cross multiply
    65,905.20x = 98,857.80 × 54,095.40
  4. Step 4: Simplify right side
    65,905.20x = 5,347,752,234.12
  5. Step 5: Solve for x
    x = 5,347,752,234.12/65,905.20
  6. Step 6: Final answer
    x = 81,143.10

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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.