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Finding the Fourth Proportional to 109,663.53, 164,470.71 and 50,442.33

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Solution

The fourth proportional to 109,663.53, 164,470.71 and 50,442.33 is: 75,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,663.53 : 164,470.71 = 50,442.33 : x
  2. Step 2: Convert to fraction form
    109,663.53/164,470.71 = 50,442.33/x
  3. Step 3: Cross multiply
    109,663.53x = 164,470.71 × 50,442.33
  4. Step 4: Simplify right side
    109,663.53x = 8,296,285,829.15
  5. Step 5: Solve for x
    x = 8,296,285,829.15/109,663.53
  6. Step 6: Final answer
    x = 75,652.19

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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.