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Finding the Fourth Proportional to 83,033.44, 114,710.96 and 54,421

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Solution

The fourth proportional to 83,033.44, 114,710.96 and 54,421 is: 75,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,033.44 : 114,710.96 = 54,421 : x
  2. Step 2: Convert to fraction form
    83,033.44/114,710.96 = 54,421/x
  3. Step 3: Cross multiply
    83,033.44x = 114,710.96 × 54,421
  4. Step 4: Simplify right side
    83,033.44x = 6,242,685,154.16
  5. Step 5: Solve for x
    x = 6,242,685,154.16/83,033.44
  6. Step 6: Final answer
    x = 75,182.78

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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.