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Finding the Fourth Proportional to 31,104.39, 46,647.02 and 8,911.82

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Solution

The fourth proportional to 31,104.39, 46,647.02 and 8,911.82 is: 13,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.39 : 46,647.02 = 8,911.82 : x
  2. Step 2: Convert to fraction form
    31,104.39/46,647.02 = 8,911.82/x
  3. Step 3: Cross multiply
    31,104.39x = 46,647.02 × 8,911.82
  4. Step 4: Simplify right side
    31,104.39x = 415,709,567.98
  5. Step 5: Solve for x
    x = 415,709,567.98/31,104.39
  6. Step 6: Final answer
    x = 13,364.98

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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.