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Finding the Fourth Proportional to 64,652.56, 96,967.84 and 17,894.48

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Solution

The fourth proportional to 64,652.56, 96,967.84 and 17,894.48 is: 26,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,652.56 : 96,967.84 = 17,894.48 : x
  2. Step 2: Convert to fraction form
    64,652.56/96,967.84 = 17,894.48/x
  3. Step 3: Cross multiply
    64,652.56x = 96,967.84 × 17,894.48
  4. Step 4: Simplify right side
    64,652.56x = 1,735,189,073.52
  5. Step 5: Solve for x
    x = 1,735,189,073.52/64,652.56
  6. Step 6: Final answer
    x = 26,838.68

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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.