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Finding the Fourth Proportional to 65,793.84, 98,656.94 and 21,414.83

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Solution

The fourth proportional to 65,793.84, 98,656.94 and 21,414.83 is: 32,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,793.84 : 98,656.94 = 21,414.83 : x
  2. Step 2: Convert to fraction form
    65,793.84/98,656.94 = 21,414.83/x
  3. Step 3: Cross multiply
    65,793.84x = 98,656.94 × 21,414.83
  4. Step 4: Simplify right side
    65,793.84x = 2,112,721,593.16
  5. Step 5: Solve for x
    x = 2,112,721,593.16/65,793.84
  6. Step 6: Final answer
    x = 32,111.23

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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.