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Finding the Fourth Proportional to 47,797.56, 65,963.16 and 26,578.08

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Solution

The fourth proportional to 47,797.56, 65,963.16 and 26,578.08 is: 36,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.56 : 65,963.16 = 26,578.08 : x
  2. Step 2: Convert to fraction form
    47,797.56/65,963.16 = 26,578.08/x
  3. Step 3: Cross multiply
    47,797.56x = 65,963.16 × 26,578.08
  4. Step 4: Simplify right side
    47,797.56x = 1,753,174,143.53
  5. Step 5: Solve for x
    x = 1,753,174,143.53/47,797.56
  6. Step 6: Final answer
    x = 36,679.16

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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.