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Finding the Fourth Proportional to 109,894.39, 164,798.45 and 38,801.86

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Solution

The fourth proportional to 109,894.39, 164,798.45 and 38,801.86 is: 58,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,894.39 : 164,798.45 = 38,801.86 : x
  2. Step 2: Convert to fraction form
    109,894.39/164,798.45 = 38,801.86/x
  3. Step 3: Cross multiply
    109,894.39x = 164,798.45 × 38,801.86
  4. Step 4: Simplify right side
    109,894.39x = 6,394,486,385.12
  5. Step 5: Solve for x
    x = 6,394,486,385.12/109,894.39
  6. Step 6: Final answer
    x = 58,187.56

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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.