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Finding the Fourth Proportional to 31,704.56, 47,562.31 and 10,646.63

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Solution

The fourth proportional to 31,704.56, 47,562.31 and 10,646.63 is: 15,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.56 : 47,562.31 = 10,646.63 : x
  2. Step 2: Convert to fraction form
    31,704.56/47,562.31 = 10,646.63/x
  3. Step 3: Cross multiply
    31,704.56x = 47,562.31 × 10,646.63
  4. Step 4: Simplify right side
    31,704.56x = 506,378,025.47
  5. Step 5: Solve for x
    x = 506,378,025.47/31,704.56
  6. Step 6: Final answer
    x = 15,971.77

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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.