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Finding the Fourth Proportional to 31,154.46, 46,702.91 and 12,429.95

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Solution

The fourth proportional to 31,154.46, 46,702.91 and 12,429.95 is: 18,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.46 : 46,702.91 = 12,429.95 : x
  2. Step 2: Convert to fraction form
    31,154.46/46,702.91 = 12,429.95/x
  3. Step 3: Cross multiply
    31,154.46x = 46,702.91 × 12,429.95
  4. Step 4: Simplify right side
    31,154.46x = 580,514,540.49
  5. Step 5: Solve for x
    x = 580,514,540.49/31,154.46
  6. Step 6: Final answer
    x = 18,633.43

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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.