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Finding the Fourth Proportional to 31,144.50, 46,719.54 and 12,420

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Solution

The fourth proportional to 31,144.50, 46,719.54 and 12,420 is: 18,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.50 : 46,719.54 = 12,420 : x
  2. Step 2: Convert to fraction form
    31,144.50/46,719.54 = 12,420/x
  3. Step 3: Cross multiply
    31,144.50x = 46,719.54 × 12,420
  4. Step 4: Simplify right side
    31,144.50x = 580,256,686.80
  5. Step 5: Solve for x
    x = 580,256,686.80/31,144.50
  6. Step 6: Final answer
    x = 18,631.11

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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.