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Finding the Fourth Proportional to 76,728.04, 115,092.06 and 43,873

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Solution

The fourth proportional to 76,728.04, 115,092.06 and 43,873 is: 65,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728.04 : 115,092.06 = 43,873 : x
  2. Step 2: Convert to fraction form
    76,728.04/115,092.06 = 43,873/x
  3. Step 3: Cross multiply
    76,728.04x = 115,092.06 × 43,873
  4. Step 4: Simplify right side
    76,728.04x = 5,049,433,948.38
  5. Step 5: Solve for x
    x = 5,049,433,948.38/76,728.04
  6. Step 6: Final answer
    x = 65,809.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.