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Finding the Fourth Proportional to 32,325, 44,603.64 and 18,177.54

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Solution

The fourth proportional to 32,325, 44,603.64 and 18,177.54 is: 25,082.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,325 : 44,603.64 = 18,177.54 : x
  2. Step 2: Convert to fraction form
    32,325/44,603.64 = 18,177.54/x
  3. Step 3: Cross multiply
    32,325x = 44,603.64 × 18,177.54
  4. Step 4: Simplify right side
    32,325x = 810,784,450.25
  5. Step 5: Solve for x
    x = 810,784,450.25/32,325
  6. Step 6: Final answer
    x = 25,082.27

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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.