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Finding the Fourth Proportional to 31,777.40, 47,684.93 and 12,072.53

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Solution

The fourth proportional to 31,777.40, 47,684.93 and 12,072.53 is: 18,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.40 : 47,684.93 = 12,072.53 : x
  2. Step 2: Convert to fraction form
    31,777.40/47,684.93 = 12,072.53/x
  3. Step 3: Cross multiply
    31,777.40x = 47,684.93 × 12,072.53
  4. Step 4: Simplify right side
    31,777.40x = 575,677,449.19
  5. Step 5: Solve for x
    x = 575,677,449.19/31,777.40
  6. Step 6: Final answer
    x = 18,115.94

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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.