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Finding the Fourth Proportional to 31,185.64, 46,786.74 and 8,998.66

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Solution

The fourth proportional to 31,185.64, 46,786.74 and 8,998.66 is: 13,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185.64 : 46,786.74 = 8,998.66 : x
  2. Step 2: Convert to fraction form
    31,185.64/46,786.74 = 8,998.66/x
  3. Step 3: Cross multiply
    31,185.64x = 46,786.74 × 8,998.66
  4. Step 4: Simplify right side
    31,185.64x = 421,017,965.77
  5. Step 5: Solve for x
    x = 421,017,965.77/31,185.64
  6. Step 6: Final answer
    x = 13,500.38

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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.