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Finding the Fourth Proportional to 31,014.95, 46,504.80 and 21,166.16

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Solution

The fourth proportional to 31,014.95, 46,504.80 and 21,166.16 is: 31,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014.95 : 46,504.80 = 21,166.16 : x
  2. Step 2: Convert to fraction form
    31,014.95/46,504.80 = 21,166.16/x
  3. Step 3: Cross multiply
    31,014.95x = 46,504.80 × 21,166.16
  4. Step 4: Simplify right side
    31,014.95x = 984,327,805.04
  5. Step 5: Solve for x
    x = 984,327,805.04/31,014.95
  6. Step 6: Final answer
    x = 31,737.21

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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.