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Finding the Fourth Proportional to 31,194.36, 46,765.02 and 13,651.08

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Solution

The fourth proportional to 31,194.36, 46,765.02 and 13,651.08 is: 20,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.36 : 46,765.02 = 13,651.08 : x
  2. Step 2: Convert to fraction form
    31,194.36/46,765.02 = 13,651.08/x
  3. Step 3: Cross multiply
    31,194.36x = 46,765.02 × 13,651.08
  4. Step 4: Simplify right side
    31,194.36x = 638,393,029.22
  5. Step 5: Solve for x
    x = 638,393,029.22/31,194.36
  6. Step 6: Final answer
    x = 20,465.01

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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.