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Finding the Fourth Proportional to 65,199.68, 97,737 and 20,801.96

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Solution

The fourth proportional to 65,199.68, 97,737 and 20,801.96 is: 31,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,199.68 : 97,737 = 20,801.96 : x
  2. Step 2: Convert to fraction form
    65,199.68/97,737 = 20,801.96/x
  3. Step 3: Cross multiply
    65,199.68x = 97,737 × 20,801.96
  4. Step 4: Simplify right side
    65,199.68x = 2,033,121,164.52
  5. Step 5: Solve for x
    x = 2,033,121,164.52/65,199.68
  6. Step 6: Final answer
    x = 31,182.99

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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.