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Finding the Fourth Proportional to 102,575.88, 153,936.10 and 36,021.19

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Solution

The fourth proportional to 102,575.88, 153,936.10 and 36,021.19 is: 54,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,575.88 : 153,936.10 = 36,021.19 : x
  2. Step 2: Convert to fraction form
    102,575.88/153,936.10 = 36,021.19/x
  3. Step 3: Cross multiply
    102,575.88x = 153,936.10 × 36,021.19
  4. Step 4: Simplify right side
    102,575.88x = 5,544,961,505.96
  5. Step 5: Solve for x
    x = 5,544,961,505.96/102,575.88
  6. Step 6: Final answer
    x = 54,057.17

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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.