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Finding the Fourth Proportional to 101,807.78, 152,675.08 and 35,229.83

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Solution

The fourth proportional to 101,807.78, 152,675.08 and 35,229.83 is: 52,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,807.78 : 152,675.08 = 35,229.83 : x
  2. Step 2: Convert to fraction form
    101,807.78/152,675.08 = 35,229.83/x
  3. Step 3: Cross multiply
    101,807.78x = 152,675.08 × 35,229.83
  4. Step 4: Simplify right side
    101,807.78x = 5,378,716,262.19
  5. Step 5: Solve for x
    x = 5,378,716,262.19/101,807.78
  6. Step 6: Final answer
    x = 52,832.08

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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.