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Finding the Fourth Proportional to 31,150.50, 46,745.19 and 12,682.50

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Solution

The fourth proportional to 31,150.50, 46,745.19 and 12,682.50 is: 19,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,150.50 : 46,745.19 = 12,682.50 : x
  2. Step 2: Convert to fraction form
    31,150.50/46,745.19 = 12,682.50/x
  3. Step 3: Cross multiply
    31,150.50x = 46,745.19 × 12,682.50
  4. Step 4: Simplify right side
    31,150.50x = 592,845,872.18
  5. Step 5: Solve for x
    x = 592,845,872.18/31,150.50
  6. Step 6: Final answer
    x = 19,031.66

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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.