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Finding the Fourth Proportional to 108,801.28, 163,167.36 and 34,912

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Solution

The fourth proportional to 108,801.28, 163,167.36 and 34,912 is: 52,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,801.28 : 163,167.36 = 34,912 : x
  2. Step 2: Convert to fraction form
    108,801.28/163,167.36 = 34,912/x
  3. Step 3: Cross multiply
    108,801.28x = 163,167.36 × 34,912
  4. Step 4: Simplify right side
    108,801.28x = 5,696,498,872.32
  5. Step 5: Solve for x
    x = 5,696,498,872.32/108,801.28
  6. Step 6: Final answer
    x = 52,356.91

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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.