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Finding the Fourth Proportional to 31,796.48, 47,695.05 and 9,610.04

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Solution

The fourth proportional to 31,796.48, 47,695.05 and 9,610.04 is: 14,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.48 : 47,695.05 = 9,610.04 : x
  2. Step 2: Convert to fraction form
    31,796.48/47,695.05 = 9,610.04/x
  3. Step 3: Cross multiply
    31,796.48x = 47,695.05 × 9,610.04
  4. Step 4: Simplify right side
    31,796.48x = 458,351,338.30
  5. Step 5: Solve for x
    x = 458,351,338.30/31,796.48
  6. Step 6: Final answer
    x = 14,415.16

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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.