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Finding the Fourth Proportional to 77,792.91, 116,663.39 and 30,395.66

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Solution

The fourth proportional to 77,792.91, 116,663.39 and 30,395.66 is: 45,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,792.91 : 116,663.39 = 30,395.66 : x
  2. Step 2: Convert to fraction form
    77,792.91/116,663.39 = 30,395.66/x
  3. Step 3: Cross multiply
    77,792.91x = 116,663.39 × 30,395.66
  4. Step 4: Simplify right side
    77,792.91x = 3,546,060,115.58
  5. Step 5: Solve for x
    x = 3,546,060,115.58/77,792.91
  6. Step 6: Final answer
    x = 45,583.34

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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.