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Finding the Fourth Proportional to 64,581.26, 96,871.76 and 17,834

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Solution

The fourth proportional to 64,581.26, 96,871.76 and 17,834 is: 26,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,581.26 : 96,871.76 = 17,834 : x
  2. Step 2: Convert to fraction form
    64,581.26/96,871.76 = 17,834/x
  3. Step 3: Cross multiply
    64,581.26x = 96,871.76 × 17,834
  4. Step 4: Simplify right side
    64,581.26x = 1,727,610,878.67
  5. Step 5: Solve for x
    x = 1,727,610,878.67/64,581.26
  6. Step 6: Final answer
    x = 26,750.96

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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.