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Finding the Fourth Proportional to 65,876.96, 98,829.22 and 21,506.24

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Solution

The fourth proportional to 65,876.96, 98,829.22 and 21,506.24 is: 32,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,876.96 : 98,829.22 = 21,506.24 : x
  2. Step 2: Convert to fraction form
    65,876.96/98,829.22 = 21,506.24/x
  3. Step 3: Cross multiply
    65,876.96x = 98,829.22 × 21,506.24
  4. Step 4: Simplify right side
    65,876.96x = 2,125,444,924.33
  5. Step 5: Solve for x
    x = 2,125,444,924.33/65,876.96
  6. Step 6: Final answer
    x = 32,263.86

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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.