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Finding the Fourth Proportional to 71,172.84, 106,772.25 and 23,783.43

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Solution

The fourth proportional to 71,172.84, 106,772.25 and 23,783.43 is: 35,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,172.84 : 106,772.25 = 23,783.43 : x
  2. Step 2: Convert to fraction form
    71,172.84/106,772.25 = 23,783.43/x
  3. Step 3: Cross multiply
    71,172.84x = 106,772.25 × 23,783.43
  4. Step 4: Simplify right side
    71,172.84x = 2,539,410,333.82
  5. Step 5: Solve for x
    x = 2,539,410,333.82/71,172.84
  6. Step 6: Final answer
    x = 35,679.49

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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.