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Finding the Fourth Proportional to 76,802.38, 115,255.44 and 26,882.89

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Solution

The fourth proportional to 76,802.38, 115,255.44 and 26,882.89 is: 40,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.38 : 115,255.44 = 26,882.89 : x
  2. Step 2: Convert to fraction form
    76,802.38/115,255.44 = 26,882.89/x
  3. Step 3: Cross multiply
    76,802.38x = 115,255.44 × 26,882.89
  4. Step 4: Simplify right side
    76,802.38x = 3,098,399,315.42
  5. Step 5: Solve for x
    x = 3,098,399,315.42/76,802.38
  6. Step 6: Final answer
    x = 40,342.49

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