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Finding the Fourth Proportional to 31,808.90, 47,721.22 and 22,467.14

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Solution

The fourth proportional to 31,808.90, 47,721.22 and 22,467.14 is: 33,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.90 : 47,721.22 = 22,467.14 : x
  2. Step 2: Convert to fraction form
    31,808.90/47,721.22 = 22,467.14/x
  3. Step 3: Cross multiply
    31,808.90x = 47,721.22 × 22,467.14
  4. Step 4: Simplify right side
    31,808.90x = 1,072,159,214.89
  5. Step 5: Solve for x
    x = 1,072,159,214.89/31,808.90
  6. Step 6: Final answer
    x = 33,706.26

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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.