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Finding the Fourth Proportional to 109,902.61, 164,853.51 and 39,765.52

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Solution

The fourth proportional to 109,902.61, 164,853.51 and 39,765.52 is: 59,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,902.61 : 164,853.51 = 39,765.52 : x
  2. Step 2: Convert to fraction form
    109,902.61/164,853.51 = 39,765.52/x
  3. Step 3: Cross multiply
    109,902.61x = 164,853.51 × 39,765.52
  4. Step 4: Simplify right side
    109,902.61x = 6,555,485,548.98
  5. Step 5: Solve for x
    x = 6,555,485,548.98/109,902.61
  6. Step 6: Final answer
    x = 59,648.13

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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.