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Finding the Fourth Proportional to 29,425.22, 44,121 and 9,698.48

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Solution

The fourth proportional to 29,425.22, 44,121 and 9,698.48 is: 14,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,425.22 : 44,121 = 9,698.48 : x
  2. Step 2: Convert to fraction form
    29,425.22/44,121 = 9,698.48/x
  3. Step 3: Cross multiply
    29,425.22x = 44,121 × 9,698.48
  4. Step 4: Simplify right side
    29,425.22x = 427,906,636.08
  5. Step 5: Solve for x
    x = 427,906,636.08/29,425.22
  6. Step 6: Final answer
    x = 14,542.17

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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.