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Finding the Fourth Proportional to 35,472.40, 48,943.08 and 22,882

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Solution

The fourth proportional to 35,472.40, 48,943.08 and 22,882 is: 31,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,472.40 : 48,943.08 = 22,882 : x
  2. Step 2: Convert to fraction form
    35,472.40/48,943.08 = 22,882/x
  3. Step 3: Cross multiply
    35,472.40x = 48,943.08 × 22,882
  4. Step 4: Simplify right side
    35,472.40x = 1,119,915,556.56
  5. Step 5: Solve for x
    x = 1,119,915,556.56/35,472.40
  6. Step 6: Final answer
    x = 31,571.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.