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Finding the Fourth Proportional to 64,649.68, 96,976.76 and 17,906

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Solution

The fourth proportional to 64,649.68, 96,976.76 and 17,906 is: 26,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,649.68 : 96,976.76 = 17,906 : x
  2. Step 2: Convert to fraction form
    64,649.68/96,976.76 = 17,906/x
  3. Step 3: Cross multiply
    64,649.68x = 96,976.76 × 17,906
  4. Step 4: Simplify right side
    64,649.68x = 1,736,465,864.56
  5. Step 5: Solve for x
    x = 1,736,465,864.56/64,649.68
  6. Step 6: Final answer
    x = 26,859.62

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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.