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Finding the Fourth Proportional to 83,788.62, 115,628.79 and 45,548.47

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Solution

The fourth proportional to 83,788.62, 115,628.79 and 45,548.47 is: 62,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,788.62 : 115,628.79 = 45,548.47 : x
  2. Step 2: Convert to fraction form
    83,788.62/115,628.79 = 45,548.47/x
  3. Step 3: Cross multiply
    83,788.62x = 115,628.79 × 45,548.47
  4. Step 4: Simplify right side
    83,788.62x = 5,266,714,183.38
  5. Step 5: Solve for x
    x = 5,266,714,183.38/83,788.62
  6. Step 6: Final answer
    x = 62,857.15

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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.