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Finding the Fourth Proportional to 31,262.88, 46,894.63 and 12,289.44

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Solution

The fourth proportional to 31,262.88, 46,894.63 and 12,289.44 is: 18,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.88 : 46,894.63 = 12,289.44 : x
  2. Step 2: Convert to fraction form
    31,262.88/46,894.63 = 12,289.44/x
  3. Step 3: Cross multiply
    31,262.88x = 46,894.63 × 12,289.44
  4. Step 4: Simplify right side
    31,262.88x = 576,308,741.71
  5. Step 5: Solve for x
    x = 576,308,741.71/31,262.88
  6. Step 6: Final answer
    x = 18,434.28

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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.