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Finding the Fourth Proportional to 109,056.48, 163,584.80 and 34,182.48

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Solution

The fourth proportional to 109,056.48, 163,584.80 and 34,182.48 is: 51,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,056.48 : 163,584.80 = 34,182.48 : x
  2. Step 2: Convert to fraction form
    109,056.48/163,584.80 = 34,182.48/x
  3. Step 3: Cross multiply
    109,056.48x = 163,584.80 × 34,182.48
  4. Step 4: Simplify right side
    109,056.48x = 5,591,734,154.30
  5. Step 5: Solve for x
    x = 5,591,734,154.30/109,056.48
  6. Step 6: Final answer
    x = 51,273.75

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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.