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Finding the Fourth Proportional to 30,876.03, 42,575.09 and 20,101.02

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Solution

The fourth proportional to 30,876.03, 42,575.09 and 20,101.02 is: 27,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.03 : 42,575.09 = 20,101.02 : x
  2. Step 2: Convert to fraction form
    30,876.03/42,575.09 = 20,101.02/x
  3. Step 3: Cross multiply
    30,876.03x = 42,575.09 × 20,101.02
  4. Step 4: Simplify right side
    30,876.03x = 855,802,635.09
  5. Step 5: Solve for x
    x = 855,802,635.09/30,876.03
  6. Step 6: Final answer
    x = 27,717.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.