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Finding the Fourth Proportional to 31,326.03, 46,984.17 and 9,137.09

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Solution

The fourth proportional to 31,326.03, 46,984.17 and 9,137.09 is: 13,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,326.03 : 46,984.17 = 9,137.09 : x
  2. Step 2: Convert to fraction form
    31,326.03/46,984.17 = 9,137.09/x
  3. Step 3: Cross multiply
    31,326.03x = 46,984.17 × 9,137.09
  4. Step 4: Simplify right side
    31,326.03x = 429,298,354.94
  5. Step 5: Solve for x
    x = 429,298,354.94/31,326.03
  6. Step 6: Final answer
    x = 13,704.21

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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.