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Finding the Fourth Proportional to 31,551.60, 47,228.96 and 23,241

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Solution

The fourth proportional to 31,551.60, 47,228.96 and 23,241 is: 34,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551.60 : 47,228.96 = 23,241 : x
  2. Step 2: Convert to fraction form
    31,551.60/47,228.96 = 23,241/x
  3. Step 3: Cross multiply
    31,551.60x = 47,228.96 × 23,241
  4. Step 4: Simplify right side
    31,551.60x = 1,097,648,259.36
  5. Step 5: Solve for x
    x = 1,097,648,259.36/31,551.60
  6. Step 6: Final answer
    x = 34,788.99

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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.