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Finding the Fourth Proportional to 31,222.40, 46,824 and 11,502.72

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Solution

The fourth proportional to 31,222.40, 46,824 and 11,502.72 is: 17,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,222.40 : 46,824 = 11,502.72 : x
  2. Step 2: Convert to fraction form
    31,222.40/46,824 = 11,502.72/x
  3. Step 3: Cross multiply
    31,222.40x = 46,824 × 11,502.72
  4. Step 4: Simplify right side
    31,222.40x = 538,603,361.28
  5. Step 5: Solve for x
    x = 538,603,361.28/31,222.40
  6. Step 6: Final answer
    x = 17,250.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.