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Finding the Fourth Proportional to 31,107.66, 46,642.72 and 12,390.58

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Solution

The fourth proportional to 31,107.66, 46,642.72 and 12,390.58 is: 18,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.66 : 46,642.72 = 12,390.58 : x
  2. Step 2: Convert to fraction form
    31,107.66/46,642.72 = 12,390.58/x
  3. Step 3: Cross multiply
    31,107.66x = 46,642.72 × 12,390.58
  4. Step 4: Simplify right side
    31,107.66x = 577,930,353.58
  5. Step 5: Solve for x
    x = 577,930,353.58/31,107.66
  6. Step 6: Final answer
    x = 18,578.39

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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.