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Finding the Fourth Proportional to 31,245.66, 46,868.67 and 12,777.66

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Solution

The fourth proportional to 31,245.66, 46,868.67 and 12,777.66 is: 19,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,245.66 : 46,868.67 = 12,777.66 : x
  2. Step 2: Convert to fraction form
    31,245.66/46,868.67 = 12,777.66/x
  3. Step 3: Cross multiply
    31,245.66x = 46,868.67 × 12,777.66
  4. Step 4: Simplify right side
    31,245.66x = 598,871,929.91
  5. Step 5: Solve for x
    x = 598,871,929.91/31,245.66
  6. Step 6: Final answer
    x = 19,166.56

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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.