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Finding the Fourth Proportional to 27,651.76, 37,854.14 and 27,454.12

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Solution

The fourth proportional to 27,651.76, 37,854.14 and 27,454.12 is: 37,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,651.76 : 37,854.14 = 27,454.12 : x
  2. Step 2: Convert to fraction form
    27,651.76/37,854.14 = 27,454.12/x
  3. Step 3: Cross multiply
    27,651.76x = 37,854.14 × 27,454.12
  4. Step 4: Simplify right side
    27,651.76x = 1,039,252,102.06
  5. Step 5: Solve for x
    x = 1,039,252,102.06/27,651.76
  6. Step 6: Final answer
    x = 37,583.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.