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Finding the Fourth Proportional to 35,580.38, 49,087.94 and 27,406.46

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Solution

The fourth proportional to 35,580.38, 49,087.94 and 27,406.46 is: 37,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,580.38 : 49,087.94 = 27,406.46 : x
  2. Step 2: Convert to fraction form
    35,580.38/49,087.94 = 27,406.46/x
  3. Step 3: Cross multiply
    35,580.38x = 49,087.94 × 27,406.46
  4. Step 4: Simplify right side
    35,580.38x = 1,345,326,281.62
  5. Step 5: Solve for x
    x = 1,345,326,281.62/35,580.38
  6. Step 6: Final answer
    x = 37,810.91

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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.