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Finding the Fourth Proportional to 31,494.40, 47,241.60 and 14,848.96

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Solution

The fourth proportional to 31,494.40, 47,241.60 and 14,848.96 is: 22,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.40 : 47,241.60 = 14,848.96 : x
  2. Step 2: Convert to fraction form
    31,494.40/47,241.60 = 14,848.96/x
  3. Step 3: Cross multiply
    31,494.40x = 47,241.60 × 14,848.96
  4. Step 4: Simplify right side
    31,494.40x = 701,488,628.74
  5. Step 5: Solve for x
    x = 701,488,628.74/31,494.40
  6. Step 6: Final answer
    x = 22,273.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.