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Finding the Fourth Proportional to 60,714.40, 83,782.81 and 33,495.23

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Solution

The fourth proportional to 60,714.40, 83,782.81 and 33,495.23 is: 46,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,714.40 : 83,782.81 = 33,495.23 : x
  2. Step 2: Convert to fraction form
    60,714.40/83,782.81 = 33,495.23/x
  3. Step 3: Cross multiply
    60,714.40x = 83,782.81 × 33,495.23
  4. Step 4: Simplify right side
    60,714.40x = 2,806,324,491.00
  5. Step 5: Solve for x
    x = 2,806,324,491.00/60,714.40
  6. Step 6: Final answer
    x = 46,221.73

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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.