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Finding the Fourth Proportional to 65,251.71, 97,862.25 and 36,800.96

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Solution

The fourth proportional to 65,251.71, 97,862.25 and 36,800.96 is: 55,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.71 : 97,862.25 = 36,800.96 : x
  2. Step 2: Convert to fraction form
    65,251.71/97,862.25 = 36,800.96/x
  3. Step 3: Cross multiply
    65,251.71x = 97,862.25 × 36,800.96
  4. Step 4: Simplify right side
    65,251.71x = 3,601,424,992.42
  5. Step 5: Solve for x
    x = 3,601,424,992.42/65,251.71
  6. Step 6: Final answer
    x = 55,192.81

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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.