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Finding the Fourth Proportional to 31,553.93, 47,329.74 and 12,833.44

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Solution

The fourth proportional to 31,553.93, 47,329.74 and 12,833.44 is: 19,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,553.93 : 47,329.74 = 12,833.44 : x
  2. Step 2: Convert to fraction form
    31,553.93/47,329.74 = 12,833.44/x
  3. Step 3: Cross multiply
    31,553.93x = 47,329.74 × 12,833.44
  4. Step 4: Simplify right side
    31,553.93x = 607,403,378.51
  5. Step 5: Solve for x
    x = 607,403,378.51/31,553.93
  6. Step 6: Final answer
    x = 19,249.69

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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.