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Finding the Fourth Proportional to 35,447.26, 48,916.83 and 20,133.70

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Solution

The fourth proportional to 35,447.26, 48,916.83 and 20,133.70 is: 27,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,447.26 : 48,916.83 = 20,133.70 : x
  2. Step 2: Convert to fraction form
    35,447.26/48,916.83 = 20,133.70/x
  3. Step 3: Cross multiply
    35,447.26x = 48,916.83 × 20,133.70
  4. Step 4: Simplify right side
    35,447.26x = 984,876,679.50
  5. Step 5: Solve for x
    x = 984,876,679.50/35,447.26
  6. Step 6: Final answer
    x = 27,784.28

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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.