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Finding the Fourth Proportional to 101,808.15, 152,675.64 and 35,230.20

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Solution

The fourth proportional to 101,808.15, 152,675.64 and 35,230.20 is: 52,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,808.15 : 152,675.64 = 35,230.20 : x
  2. Step 2: Convert to fraction form
    101,808.15/152,675.64 = 35,230.20/x
  3. Step 3: Cross multiply
    101,808.15x = 152,675.64 × 35,230.20
  4. Step 4: Simplify right side
    101,808.15x = 5,378,793,332.33
  5. Step 5: Solve for x
    x = 5,378,793,332.33/101,808.15
  6. Step 6: Final answer
    x = 52,832.64

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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.