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Finding the Fourth Proportional to 53,490.38, 73,843.48 and 34,642.70

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Solution

The fourth proportional to 53,490.38, 73,843.48 and 34,642.70 is: 47,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,490.38 : 73,843.48 = 34,642.70 : x
  2. Step 2: Convert to fraction form
    53,490.38/73,843.48 = 34,642.70/x
  3. Step 3: Cross multiply
    53,490.38x = 73,843.48 × 34,642.70
  4. Step 4: Simplify right side
    53,490.38x = 2,558,137,524.60
  5. Step 5: Solve for x
    x = 2,558,137,524.60/53,490.38
  6. Step 6: Final answer
    x = 47,824.25

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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.