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Finding the Fourth Proportional to 31,635.31, 47,461.22 and 9,448.69

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Solution

The fourth proportional to 31,635.31, 47,461.22 and 9,448.69 is: 14,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.31 : 47,461.22 = 9,448.69 : x
  2. Step 2: Convert to fraction form
    31,635.31/47,461.22 = 9,448.69/x
  3. Step 3: Cross multiply
    31,635.31x = 47,461.22 × 9,448.69
  4. Step 4: Simplify right side
    31,635.31x = 448,446,070.25
  5. Step 5: Solve for x
    x = 448,446,070.25/31,635.31
  6. Step 6: Final answer
    x = 14,175.49

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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.