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Finding the Fourth Proportional to 65,021.34, 89,728.38 and 36,341.67

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Solution

The fourth proportional to 65,021.34, 89,728.38 and 36,341.67 is: 50,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,021.34 : 89,728.38 = 36,341.67 : x
  2. Step 2: Convert to fraction form
    65,021.34/89,728.38 = 36,341.67/x
  3. Step 3: Cross multiply
    65,021.34x = 89,728.38 × 36,341.67
  4. Step 4: Simplify right side
    65,021.34x = 3,260,879,175.59
  5. Step 5: Solve for x
    x = 3,260,879,175.59/65,021.34
  6. Step 6: Final answer
    x = 50,150.91

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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.