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Finding the Fourth Proportional to 31,843.04, 47,764.68 and 9,656.60

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Solution

The fourth proportional to 31,843.04, 47,764.68 and 9,656.60 is: 14,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.04 : 47,764.68 = 9,656.60 : x
  2. Step 2: Convert to fraction form
    31,843.04/47,764.68 = 9,656.60/x
  3. Step 3: Cross multiply
    31,843.04x = 47,764.68 × 9,656.60
  4. Step 4: Simplify right side
    31,843.04x = 461,244,408.89
  5. Step 5: Solve for x
    x = 461,244,408.89/31,843.04
  6. Step 6: Final answer
    x = 14,484.94

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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.