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Finding the Fourth Proportional to 65,227.80, 97,793.88 and 20,828.96

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Solution

The fourth proportional to 65,227.80, 97,793.88 and 20,828.96 is: 31,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,227.80 : 97,793.88 = 20,828.96 : x
  2. Step 2: Convert to fraction form
    65,227.80/97,793.88 = 20,828.96/x
  3. Step 3: Cross multiply
    65,227.80x = 97,793.88 × 20,828.96
  4. Step 4: Simplify right side
    65,227.80x = 2,036,944,814.76
  5. Step 5: Solve for x
    x = 2,036,944,814.76/65,227.80
  6. Step 6: Final answer
    x = 31,228.17

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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.