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Finding the Fourth Proportional to 35,097.86, 48,446.62 and 27,940.88

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Solution

The fourth proportional to 35,097.86, 48,446.62 and 27,940.88 is: 38,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,097.86 : 48,446.62 = 27,940.88 : x
  2. Step 2: Convert to fraction form
    35,097.86/48,446.62 = 27,940.88/x
  3. Step 3: Cross multiply
    35,097.86x = 48,446.62 × 27,940.88
  4. Step 4: Simplify right side
    35,097.86x = 1,353,641,195.83
  5. Step 5: Solve for x
    x = 1,353,641,195.83/35,097.86
  6. Step 6: Final answer
    x = 38,567.63

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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.