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Finding the Fourth Proportional to 65,794.49, 98,668.44 and 21,412.97

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Solution

The fourth proportional to 65,794.49, 98,668.44 and 21,412.97 is: 32,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,794.49 : 98,668.44 = 21,412.97 : x
  2. Step 2: Convert to fraction form
    65,794.49/98,668.44 = 21,412.97/x
  3. Step 3: Cross multiply
    65,794.49x = 98,668.44 × 21,412.97
  4. Step 4: Simplify right side
    65,794.49x = 2,112,784,345.67
  5. Step 5: Solve for x
    x = 2,112,784,345.67/65,794.49
  6. Step 6: Final answer
    x = 32,111.87

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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.