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Finding the Fourth Proportional to 31,153.50, 46,733.04 and 12,429

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Solution

The fourth proportional to 31,153.50, 46,733.04 and 12,429 is: 18,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,153.50 : 46,733.04 = 12,429 : x
  2. Step 2: Convert to fraction form
    31,153.50/46,733.04 = 12,429/x
  3. Step 3: Cross multiply
    31,153.50x = 46,733.04 × 12,429
  4. Step 4: Simplify right side
    31,153.50x = 580,844,954.16
  5. Step 5: Solve for x
    x = 580,844,954.16/31,153.50
  6. Step 6: Final answer
    x = 18,644.61

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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.