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Finding the Fourth Proportional to 31,768.29, 47,646.64 and 12,040.33

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Solution

The fourth proportional to 31,768.29, 47,646.64 and 12,040.33 is: 18,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768.29 : 47,646.64 = 12,040.33 : x
  2. Step 2: Convert to fraction form
    31,768.29/47,646.64 = 12,040.33/x
  3. Step 3: Cross multiply
    31,768.29x = 47,646.64 × 12,040.33
  4. Step 4: Simplify right side
    31,768.29x = 573,681,268.99
  5. Step 5: Solve for x
    x = 573,681,268.99/31,768.29
  6. Step 6: Final answer
    x = 18,058.30

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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.