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Finding the Fourth Proportional to 30,857.77, 46,251.67 and 13,077.37

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Solution

The fourth proportional to 30,857.77, 46,251.67 and 13,077.37 is: 19,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.77 : 46,251.67 = 13,077.37 : x
  2. Step 2: Convert to fraction form
    30,857.77/46,251.67 = 13,077.37/x
  3. Step 3: Cross multiply
    30,857.77x = 46,251.67 × 13,077.37
  4. Step 4: Simplify right side
    30,857.77x = 604,850,201.71
  5. Step 5: Solve for x
    x = 604,850,201.71/30,857.77
  6. Step 6: Final answer
    x = 19,601.23

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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.