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Finding the Fourth Proportional to 35,783.82, 49,428.15 and 27,234

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Solution

The fourth proportional to 35,783.82, 49,428.15 and 27,234 is: 37,618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.82 : 49,428.15 = 27,234 : x
  2. Step 2: Convert to fraction form
    35,783.82/49,428.15 = 27,234/x
  3. Step 3: Cross multiply
    35,783.82x = 49,428.15 × 27,234
  4. Step 4: Simplify right side
    35,783.82x = 1,346,126,237.10
  5. Step 5: Solve for x
    x = 1,346,126,237.10/35,783.82
  6. Step 6: Final answer
    x = 37,618.29

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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.