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Finding the Fourth Proportional to 103,600.51, 155,397.12 and 33,478

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Solution

The fourth proportional to 103,600.51, 155,397.12 and 33,478 is: 50,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,600.51 : 155,397.12 = 33,478 : x
  2. Step 2: Convert to fraction form
    103,600.51/155,397.12 = 33,478/x
  3. Step 3: Cross multiply
    103,600.51x = 155,397.12 × 33,478
  4. Step 4: Simplify right side
    103,600.51x = 5,202,384,783.36
  5. Step 5: Solve for x
    x = 5,202,384,783.36/103,600.51
  6. Step 6: Final answer
    x = 50,215.82

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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.