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Finding the Fourth Proportional to 65,023.68, 89,726.16 and 36,723.96

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Solution

The fourth proportional to 65,023.68, 89,726.16 and 36,723.96 is: 50,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,023.68 : 89,726.16 = 36,723.96 : x
  2. Step 2: Convert to fraction form
    65,023.68/89,726.16 = 36,723.96/x
  3. Step 3: Cross multiply
    65,023.68x = 89,726.16 × 36,723.96
  4. Step 4: Simplify right side
    65,023.68x = 3,295,099,910.79
  5. Step 5: Solve for x
    x = 3,295,099,910.79/65,023.68
  6. Step 6: Final answer
    x = 50,675.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.