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Finding the Fourth Proportional to 103,685.68, 155,553.20 and 33,565

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Solution

The fourth proportional to 103,685.68, 155,553.20 and 33,565 is: 50,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,685.68 : 155,553.20 = 33,565 : x
  2. Step 2: Convert to fraction form
    103,685.68/155,553.20 = 33,565/x
  3. Step 3: Cross multiply
    103,685.68x = 155,553.20 × 33,565
  4. Step 4: Simplify right side
    103,685.68x = 5,221,143,158
  5. Step 5: Solve for x
    x = 5,221,143,158/103,685.68
  6. Step 6: Final answer
    x = 50,355.49

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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.