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Finding the Fourth Proportional to 51,391.64, 77,086.26 and 23,689.64

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Solution

The fourth proportional to 51,391.64, 77,086.26 and 23,689.64 is: 35,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,391.64 : 77,086.26 = 23,689.64 : x
  2. Step 2: Convert to fraction form
    51,391.64/77,086.26 = 23,689.64/x
  3. Step 3: Cross multiply
    51,391.64x = 77,086.26 × 23,689.64
  4. Step 4: Simplify right side
    51,391.64x = 1,826,145,748.35
  5. Step 5: Solve for x
    x = 1,826,145,748.35/51,391.64
  6. Step 6: Final answer
    x = 35,533.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.