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Finding the Fourth Proportional to 34,659.46, 47,826.47 and 25,589.65

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Solution

The fourth proportional to 34,659.46, 47,826.47 and 25,589.65 is: 35,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,659.46 : 47,826.47 = 25,589.65 : x
  2. Step 2: Convert to fraction form
    34,659.46/47,826.47 = 25,589.65/x
  3. Step 3: Cross multiply
    34,659.46x = 47,826.47 × 25,589.65
  4. Step 4: Simplify right side
    34,659.46x = 1,223,862,380.52
  5. Step 5: Solve for x
    x = 1,223,862,380.52/34,659.46
  6. Step 6: Final answer
    x = 35,311.06

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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.