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Finding the Fourth Proportional to 31,073.91, 46,602.99 and 8,887.38

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Solution

The fourth proportional to 31,073.91, 46,602.99 and 8,887.38 is: 13,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.91 : 46,602.99 = 8,887.38 : x
  2. Step 2: Convert to fraction form
    31,073.91/46,602.99 = 8,887.38/x
  3. Step 3: Cross multiply
    31,073.91x = 46,602.99 × 8,887.38
  4. Step 4: Simplify right side
    31,073.91x = 414,178,481.27
  5. Step 5: Solve for x
    x = 414,178,481.27/31,073.91
  6. Step 6: Final answer
    x = 13,328.82

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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.