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Finding the Fourth Proportional to 31,841.36, 47,762.40 and 9,654.56

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Solution

The fourth proportional to 31,841.36, 47,762.40 and 9,654.56 is: 14,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.36 : 47,762.40 = 9,654.56 : x
  2. Step 2: Convert to fraction form
    31,841.36/47,762.40 = 9,654.56/x
  3. Step 3: Cross multiply
    31,841.36x = 47,762.40 × 9,654.56
  4. Step 4: Simplify right side
    31,841.36x = 461,124,956.54
  5. Step 5: Solve for x
    x = 461,124,956.54/31,841.36
  6. Step 6: Final answer
    x = 14,481.95

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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.