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Finding the Fourth Proportional to 31,192.50, 46,789.11 and 9,006.12

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Solution

The fourth proportional to 31,192.50, 46,789.11 and 9,006.12 is: 13,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,192.50 : 46,789.11 = 9,006.12 : x
  2. Step 2: Convert to fraction form
    31,192.50/46,789.11 = 9,006.12/x
  3. Step 3: Cross multiply
    31,192.50x = 46,789.11 × 9,006.12
  4. Step 4: Simplify right side
    31,192.50x = 421,388,339.35
  5. Step 5: Solve for x
    x = 421,388,339.35/31,192.50
  6. Step 6: Final answer
    x = 13,509.28

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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.