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Finding the Fourth Proportional to 109,458.54, 164,164.32 and 34,584.48

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Solution

The fourth proportional to 109,458.54, 164,164.32 and 34,584.48 is: 51,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,458.54 : 164,164.32 = 34,584.48 : x
  2. Step 2: Convert to fraction form
    109,458.54/164,164.32 = 34,584.48/x
  3. Step 3: Cross multiply
    109,458.54x = 164,164.32 × 34,584.48
  4. Step 4: Simplify right side
    109,458.54x = 5,677,537,641.75
  5. Step 5: Solve for x
    x = 5,677,537,641.75/109,458.54
  6. Step 6: Final answer
    x = 51,869.30

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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.