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Finding the Fourth Proportional to 71,085, 106,628.10 and 24,338.28

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Solution

The fourth proportional to 71,085, 106,628.10 and 24,338.28 is: 36,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,085 : 106,628.10 = 24,338.28 : x
  2. Step 2: Convert to fraction form
    71,085/106,628.10 = 24,338.28/x
  3. Step 3: Cross multiply
    71,085x = 106,628.10 × 24,338.28
  4. Step 4: Simplify right side
    71,085x = 2,595,144,553.67
  5. Step 5: Solve for x
    x = 2,595,144,553.67/71,085
  6. Step 6: Final answer
    x = 36,507.63

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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.