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Finding the Fourth Proportional to 101,783.14, 152,685.20 and 35,223.17

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Solution

The fourth proportional to 101,783.14, 152,685.20 and 35,223.17 is: 52,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,783.14 : 152,685.20 = 35,223.17 : x
  2. Step 2: Convert to fraction form
    101,783.14/152,685.20 = 35,223.17/x
  3. Step 3: Cross multiply
    101,783.14x = 152,685.20 × 35,223.17
  4. Step 4: Simplify right side
    101,783.14x = 5,378,056,756.08
  5. Step 5: Solve for x
    x = 5,378,056,756.08/101,783.14
  6. Step 6: Final answer
    x = 52,838.39

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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.