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Finding the Fourth Proportional to 101,480.50, 152,221.40 and 26,600

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Solution

The fourth proportional to 101,480.50, 152,221.40 and 26,600 is: 39,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,480.50 : 152,221.40 = 26,600 : x
  2. Step 2: Convert to fraction form
    101,480.50/152,221.40 = 26,600/x
  3. Step 3: Cross multiply
    101,480.50x = 152,221.40 × 26,600
  4. Step 4: Simplify right side
    101,480.50x = 4,049,089,240
  5. Step 5: Solve for x
    x = 4,049,089,240/101,480.50
  6. Step 6: Final answer
    x = 39,900.17

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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.