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Finding the Fourth Proportional to 60,714.65, 83,786.77 and 33,491.78

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Solution

The fourth proportional to 60,714.65, 83,786.77 and 33,491.78 is: 46,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,714.65 : 83,786.77 = 33,491.78 : x
  2. Step 2: Convert to fraction form
    60,714.65/83,786.77 = 33,491.78/x
  3. Step 3: Cross multiply
    60,714.65x = 83,786.77 × 33,491.78
  4. Step 4: Simplify right side
    60,714.65x = 2,806,167,816.49
  5. Step 5: Solve for x
    x = 2,806,167,816.49/60,714.65
  6. Step 6: Final answer
    x = 46,218.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.