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Finding the Fourth Proportional to 65,874.23, 98,814.09 and 19,127.11

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Solution

The fourth proportional to 65,874.23, 98,814.09 and 19,127.11 is: 28,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,874.23 : 98,814.09 = 19,127.11 : x
  2. Step 2: Convert to fraction form
    65,874.23/98,814.09 = 19,127.11/x
  3. Step 3: Cross multiply
    65,874.23x = 98,814.09 × 19,127.11
  4. Step 4: Simplify right side
    65,874.23x = 1,890,027,817.56
  5. Step 5: Solve for x
    x = 1,890,027,817.56/65,874.23
  6. Step 6: Final answer
    x = 28,691.46

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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.