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Finding the Fourth Proportional to 31,238.66, 46,857.96 and 10,178.68

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Solution

The fourth proportional to 31,238.66, 46,857.96 and 10,178.68 is: 15,268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.66 : 46,857.96 = 10,178.68 : x
  2. Step 2: Convert to fraction form
    31,238.66/46,857.96 = 10,178.68/x
  3. Step 3: Cross multiply
    31,238.66x = 46,857.96 × 10,178.68
  4. Step 4: Simplify right side
    31,238.66x = 476,952,151.01
  5. Step 5: Solve for x
    x = 476,952,151.01/31,238.66
  6. Step 6: Final answer
    x = 15,268.01

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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.