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Finding the Fourth Proportional to 109,871.25, 164,709.14 and 39,734.97

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Solution

The fourth proportional to 109,871.25, 164,709.14 and 39,734.97 is: 59,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.25 : 164,709.14 = 39,734.97 : x
  2. Step 2: Convert to fraction form
    109,871.25/164,709.14 = 39,734.97/x
  3. Step 3: Cross multiply
    109,871.25x = 164,709.14 × 39,734.97
  4. Step 4: Simplify right side
    109,871.25x = 6,544,712,537.95
  5. Step 5: Solve for x
    x = 6,544,712,537.95/109,871.25
  6. Step 6: Final answer
    x = 59,567.11

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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.