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Finding the Fourth Proportional to 35,987.78, 49,663.14 and 20,072.24

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Solution

The fourth proportional to 35,987.78, 49,663.14 and 20,072.24 is: 27,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,987.78 : 49,663.14 = 20,072.24 : x
  2. Step 2: Convert to fraction form
    35,987.78/49,663.14 = 20,072.24/x
  3. Step 3: Cross multiply
    35,987.78x = 49,663.14 × 20,072.24
  4. Step 4: Simplify right side
    35,987.78x = 996,850,465.23
  5. Step 5: Solve for x
    x = 996,850,465.23/35,987.78
  6. Step 6: Final answer
    x = 27,699.69

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