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Finding the Fourth Proportional to 35,777.12, 49,394.68 and 27,696.15

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Solution

The fourth proportional to 35,777.12, 49,394.68 and 27,696.15 is: 38,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,777.12 : 49,394.68 = 27,696.15 : x
  2. Step 2: Convert to fraction form
    35,777.12/49,394.68 = 27,696.15/x
  3. Step 3: Cross multiply
    35,777.12x = 49,394.68 × 27,696.15
  4. Step 4: Simplify right side
    35,777.12x = 1,368,042,397.24
  5. Step 5: Solve for x
    x = 1,368,042,397.24/35,777.12
  6. Step 6: Final answer
    x = 38,237.92

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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.