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Finding the Fourth Proportional to 83,653.72, 115,463.44 and 47,854.96

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Solution

The fourth proportional to 83,653.72, 115,463.44 and 47,854.96 is: 66,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,653.72 : 115,463.44 = 47,854.96 : x
  2. Step 2: Convert to fraction form
    83,653.72/115,463.44 = 47,854.96/x
  3. Step 3: Cross multiply
    83,653.72x = 115,463.44 × 47,854.96
  4. Step 4: Simplify right side
    83,653.72x = 5,525,498,073.82
  5. Step 5: Solve for x
    x = 5,525,498,073.82/83,653.72
  6. Step 6: Final answer
    x = 66,052.03

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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.