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Finding the Fourth Proportional to 46,951.62, 64,793.24 and 25,731.38

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Solution

The fourth proportional to 46,951.62, 64,793.24 and 25,731.38 is: 35,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,951.62 : 64,793.24 = 25,731.38 : x
  2. Step 2: Convert to fraction form
    46,951.62/64,793.24 = 25,731.38/x
  3. Step 3: Cross multiply
    46,951.62x = 64,793.24 × 25,731.38
  4. Step 4: Simplify right side
    46,951.62x = 1,667,219,479.87
  5. Step 5: Solve for x
    x = 1,667,219,479.87/46,951.62
  6. Step 6: Final answer
    x = 35,509.31

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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.