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Finding the Fourth Proportional to 83,678.72, 115,448.11 and 53,481.47

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Solution

The fourth proportional to 83,678.72, 115,448.11 and 53,481.47 is: 73,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,678.72 : 115,448.11 = 53,481.47 : x
  2. Step 2: Convert to fraction form
    83,678.72/115,448.11 = 53,481.47/x
  3. Step 3: Cross multiply
    83,678.72x = 115,448.11 × 53,481.47
  4. Step 4: Simplify right side
    83,678.72x = 6,174,334,631.52
  5. Step 5: Solve for x
    x = 6,174,334,631.52/83,678.72
  6. Step 6: Final answer
    x = 73,786.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.