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Finding the Fourth Proportional to 71,453.76, 107,024.64 and 34,440

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Solution

The fourth proportional to 71,453.76, 107,024.64 and 34,440 is: 51,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,453.76 : 107,024.64 = 34,440 : x
  2. Step 2: Convert to fraction form
    71,453.76/107,024.64 = 34,440/x
  3. Step 3: Cross multiply
    71,453.76x = 107,024.64 × 34,440
  4. Step 4: Simplify right side
    71,453.76x = 3,685,928,601.60
  5. Step 5: Solve for x
    x = 3,685,928,601.60/71,453.76
  6. Step 6: Final answer
    x = 51,584.81

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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.