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Finding the Fourth Proportional to 109,398.54, 164,097.81 and 34,518.90

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Solution

The fourth proportional to 109,398.54, 164,097.81 and 34,518.90 is: 51,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,398.54 : 164,097.81 = 34,518.90 : x
  2. Step 2: Convert to fraction form
    109,398.54/164,097.81 = 34,518.90/x
  3. Step 3: Cross multiply
    109,398.54x = 164,097.81 × 34,518.90
  4. Step 4: Simplify right side
    109,398.54x = 5,664,475,893.61
  5. Step 5: Solve for x
    x = 5,664,475,893.61/109,398.54
  6. Step 6: Final answer
    x = 51,778.35

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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.