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Finding the Fourth Proportional to 31,057.09, 46,584.65 and 8,870.46

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Solution

The fourth proportional to 31,057.09, 46,584.65 and 8,870.46 is: 13,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.09 : 46,584.65 = 8,870.46 : x
  2. Step 2: Convert to fraction form
    31,057.09/46,584.65 = 8,870.46/x
  3. Step 3: Cross multiply
    31,057.09x = 46,584.65 × 8,870.46
  4. Step 4: Simplify right side
    31,057.09x = 413,227,274.44
  5. Step 5: Solve for x
    x = 413,227,274.44/31,057.09
  6. Step 6: Final answer
    x = 13,305.41

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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.