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Finding the Fourth Proportional to 101,906.21, 152,799.48 and 30,807.45

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Solution

The fourth proportional to 101,906.21, 152,799.48 and 30,807.45 is: 46,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,906.21 : 152,799.48 = 30,807.45 : x
  2. Step 2: Convert to fraction form
    101,906.21/152,799.48 = 30,807.45/x
  3. Step 3: Cross multiply
    101,906.21x = 152,799.48 × 30,807.45
  4. Step 4: Simplify right side
    101,906.21x = 4,707,362,340.13
  5. Step 5: Solve for x
    x = 4,707,362,340.13/101,906.21
  6. Step 6: Final answer
    x = 46,193.09

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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.