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Finding the Fourth Proportional to 109,229.76, 163,833.48 and 34,350.48

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Solution

The fourth proportional to 109,229.76, 163,833.48 and 34,350.48 is: 51,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,229.76 : 163,833.48 = 34,350.48 : x
  2. Step 2: Convert to fraction form
    109,229.76/163,833.48 = 34,350.48/x
  3. Step 3: Cross multiply
    109,229.76x = 163,833.48 × 34,350.48
  4. Step 4: Simplify right side
    109,229.76x = 5,627,758,678.07
  5. Step 5: Solve for x
    x = 5,627,758,678.07/109,229.76
  6. Step 6: Final answer
    x = 51,522.21

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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.