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Finding the Fourth Proportional to 65,219.20, 97,815.97 and 20,833.99

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Solution

The fourth proportional to 65,219.20, 97,815.97 and 20,833.99 is: 31,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,219.20 : 97,815.97 = 20,833.99 : x
  2. Step 2: Convert to fraction form
    65,219.20/97,815.97 = 20,833.99/x
  3. Step 3: Cross multiply
    65,219.20x = 97,815.97 × 20,833.99
  4. Step 4: Simplify right side
    65,219.20x = 2,037,896,940.82
  5. Step 5: Solve for x
    x = 2,037,896,940.82/65,219.20
  6. Step 6: Final answer
    x = 31,246.89

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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.