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Finding the Fourth Proportional to 31,172.99, 46,773.18 and 16,378.47

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Solution

The fourth proportional to 31,172.99, 46,773.18 and 16,378.47 is: 24,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172.99 : 46,773.18 = 16,378.47 : x
  2. Step 2: Convert to fraction form
    31,172.99/46,773.18 = 16,378.47/x
  3. Step 3: Cross multiply
    31,172.99x = 46,773.18 × 16,378.47
  4. Step 4: Simplify right side
    31,172.99x = 766,073,125.43
  5. Step 5: Solve for x
    x = 766,073,125.43/31,172.99
  6. Step 6: Final answer
    x = 24,574.90

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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.