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Finding the Fourth Proportional to 31,137.44, 46,699.68 and 12,405.92

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Solution

The fourth proportional to 31,137.44, 46,699.68 and 12,405.92 is: 18,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.44 : 46,699.68 = 12,405.92 : x
  2. Step 2: Convert to fraction form
    31,137.44/46,699.68 = 12,405.92/x
  3. Step 3: Cross multiply
    31,137.44x = 46,699.68 × 12,405.92
  4. Step 4: Simplify right side
    31,137.44x = 579,352,494.11
  5. Step 5: Solve for x
    x = 579,352,494.11/31,137.44
  6. Step 6: Final answer
    x = 18,606.30

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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.