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Finding the Fourth Proportional to 65,874.96, 98,826.21 and 21,504.24

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Solution

The fourth proportional to 65,874.96, 98,826.21 and 21,504.24 is: 32,260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,874.96 : 98,826.21 = 21,504.24 : x
  2. Step 2: Convert to fraction form
    65,874.96/98,826.21 = 21,504.24/x
  3. Step 3: Cross multiply
    65,874.96x = 98,826.21 × 21,504.24
  4. Step 4: Simplify right side
    65,874.96x = 2,125,182,538.13
  5. Step 5: Solve for x
    x = 2,125,182,538.13/65,874.96
  6. Step 6: Final answer
    x = 32,260.86

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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.