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Finding the Fourth Proportional to 30,695.71, 46,034.47 and 13,161.37

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Solution

The fourth proportional to 30,695.71, 46,034.47 and 13,161.37 is: 19,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695.71 : 46,034.47 = 13,161.37 : x
  2. Step 2: Convert to fraction form
    30,695.71/46,034.47 = 13,161.37/x
  3. Step 3: Cross multiply
    30,695.71x = 46,034.47 × 13,161.37
  4. Step 4: Simplify right side
    30,695.71x = 605,876,692.42
  5. Step 5: Solve for x
    x = 605,876,692.42/30,695.71
  6. Step 6: Final answer
    x = 19,738.16

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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.