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Finding the Fourth Proportional to 71,143.41, 106,713.89 and 21,223.65

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Solution

The fourth proportional to 71,143.41, 106,713.89 and 21,223.65 is: 31,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143.41 : 106,713.89 = 21,223.65 : x
  2. Step 2: Convert to fraction form
    71,143.41/106,713.89 = 21,223.65/x
  3. Step 3: Cross multiply
    71,143.41x = 106,713.89 × 21,223.65
  4. Step 4: Simplify right side
    71,143.41x = 2,264,858,251.50
  5. Step 5: Solve for x
    x = 2,264,858,251.50/71,143.41
  6. Step 6: Final answer
    x = 31,835.11

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1.5x scale

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.