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Finding the Fourth Proportional to 35,083, 48,453.78 and 27,220.60

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Solution

The fourth proportional to 35,083, 48,453.78 and 27,220.60 is: 37,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,083 : 48,453.78 = 27,220.60 : x
  2. Step 2: Convert to fraction form
    35,083/48,453.78 = 27,220.60/x
  3. Step 3: Cross multiply
    35,083x = 48,453.78 × 27,220.60
  4. Step 4: Simplify right side
    35,083x = 1,318,940,963.87
  5. Step 5: Solve for x
    x = 1,318,940,963.87/35,083
  6. Step 6: Final answer
    x = 37,594.87

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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.