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Finding the Fourth Proportional to 31,642.14, 47,465.64 and 8,268.24

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Solution

The fourth proportional to 31,642.14, 47,465.64 and 8,268.24 is: 12,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.14 : 47,465.64 = 8,268.24 : x
  2. Step 2: Convert to fraction form
    31,642.14/47,465.64 = 8,268.24/x
  3. Step 3: Cross multiply
    31,642.14x = 47,465.64 × 8,268.24
  4. Step 4: Simplify right side
    31,642.14x = 392,457,303.27
  5. Step 5: Solve for x
    x = 392,457,303.27/31,642.14
  6. Step 6: Final answer
    x = 12,402.99

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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.