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Finding the Fourth Proportional to 64,586.32, 96,881.32 and 17,839.20

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Solution

The fourth proportional to 64,586.32, 96,881.32 and 17,839.20 is: 26,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,586.32 : 96,881.32 = 17,839.20 : x
  2. Step 2: Convert to fraction form
    64,586.32/96,881.32 = 17,839.20/x
  3. Step 3: Cross multiply
    64,586.32x = 96,881.32 × 17,839.20
  4. Step 4: Simplify right side
    64,586.32x = 1,728,285,243.74
  5. Step 5: Solve for x
    x = 1,728,285,243.74/64,586.32
  6. Step 6: Final answer
    x = 26,759.31

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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.