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Finding the Fourth Proportional to 83,293.38, 114,952.77 and 45,573.30

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Solution

The fourth proportional to 83,293.38, 114,952.77 and 45,573.30 is: 62,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,293.38 : 114,952.77 = 45,573.30 : x
  2. Step 2: Convert to fraction form
    83,293.38/114,952.77 = 45,573.30/x
  3. Step 3: Cross multiply
    83,293.38x = 114,952.77 × 45,573.30
  4. Step 4: Simplify right side
    83,293.38x = 5,238,777,073.04
  5. Step 5: Solve for x
    x = 5,238,777,073.04/83,293.38
  6. Step 6: Final answer
    x = 62,895.48

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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.