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Finding the Fourth Proportional to 71,014.46, 106,509.13 and 23,624.80

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Solution

The fourth proportional to 71,014.46, 106,509.13 and 23,624.80 is: 35,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,014.46 : 106,509.13 = 23,624.80 : x
  2. Step 2: Convert to fraction form
    71,014.46/106,509.13 = 23,624.80/x
  3. Step 3: Cross multiply
    71,014.46x = 106,509.13 × 23,624.80
  4. Step 4: Simplify right side
    71,014.46x = 2,516,256,569.09
  5. Step 5: Solve for x
    x = 2,516,256,569.09/71,014.46
  6. Step 6: Final answer
    x = 35,433.02

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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.