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Finding the Fourth Proportional to 64,581.76, 96,872.50 and 17,834.50

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Solution

The fourth proportional to 64,581.76, 96,872.50 and 17,834.50 is: 26,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,581.76 : 96,872.50 = 17,834.50 : x
  2. Step 2: Convert to fraction form
    64,581.76/96,872.50 = 17,834.50/x
  3. Step 3: Cross multiply
    64,581.76x = 96,872.50 × 17,834.50
  4. Step 4: Simplify right side
    64,581.76x = 1,727,672,601.25
  5. Step 5: Solve for x
    x = 1,727,672,601.25/64,581.76
  6. Step 6: Final answer
    x = 26,751.71

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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.