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Finding the Fourth Proportional to 101,785.50, 152,692.02 and 35,207.64

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Solution

The fourth proportional to 101,785.50, 152,692.02 and 35,207.64 is: 52,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,785.50 : 152,692.02 = 35,207.64 : x
  2. Step 2: Convert to fraction form
    101,785.50/152,692.02 = 35,207.64/x
  3. Step 3: Cross multiply
    101,785.50x = 152,692.02 × 35,207.64
  4. Step 4: Simplify right side
    101,785.50x = 5,375,925,671.03
  5. Step 5: Solve for x
    x = 5,375,925,671.03/101,785.50
  6. Step 6: Final answer
    x = 52,816.22

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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.