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Finding the Fourth Proportional to 31,859.64, 47,791.32 and 9,673.74

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Solution

The fourth proportional to 31,859.64, 47,791.32 and 9,673.74 is: 14,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.64 : 47,791.32 = 9,673.74 : x
  2. Step 2: Convert to fraction form
    31,859.64/47,791.32 = 9,673.74/x
  3. Step 3: Cross multiply
    31,859.64x = 47,791.32 × 9,673.74
  4. Step 4: Simplify right side
    31,859.64x = 462,320,803.94
  5. Step 5: Solve for x
    x = 462,320,803.94/31,859.64
  6. Step 6: Final answer
    x = 14,511.17

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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.