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Finding the Fourth Proportional to 31,077.39, 46,614.93 and 8,890.74

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Solution

The fourth proportional to 31,077.39, 46,614.93 and 8,890.74 is: 13,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077.39 : 46,614.93 = 8,890.74 : x
  2. Step 2: Convert to fraction form
    31,077.39/46,614.93 = 8,890.74/x
  3. Step 3: Cross multiply
    31,077.39x = 46,614.93 × 8,890.74
  4. Step 4: Simplify right side
    31,077.39x = 414,441,222.75
  5. Step 5: Solve for x
    x = 414,441,222.75/31,077.39
  6. Step 6: Final answer
    x = 13,335.78

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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.