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Finding the Fourth Proportional to 31,051.30, 46,584.18 and 8,864.98

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Solution

The fourth proportional to 31,051.30, 46,584.18 and 8,864.98 is: 13,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,051.30 : 46,584.18 = 8,864.98 : x
  2. Step 2: Convert to fraction form
    31,051.30/46,584.18 = 8,864.98/x
  3. Step 3: Cross multiply
    31,051.30x = 46,584.18 × 8,864.98
  4. Step 4: Simplify right side
    31,051.30x = 412,967,824.02
  5. Step 5: Solve for x
    x = 412,967,824.02/31,051.30
  6. Step 6: Final answer
    x = 13,299.53

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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.