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Finding the Fourth Proportional to 39,185.32, 54,077 and 22,189.32

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Solution

The fourth proportional to 39,185.32, 54,077 and 22,189.32 is: 30,621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,185.32 : 54,077 = 22,189.32 : x
  2. Step 2: Convert to fraction form
    39,185.32/54,077 = 22,189.32/x
  3. Step 3: Cross multiply
    39,185.32x = 54,077 × 22,189.32
  4. Step 4: Simplify right side
    39,185.32x = 1,199,931,857.64
  5. Step 5: Solve for x
    x = 1,199,931,857.64/39,185.32
  6. Step 6: Final answer
    x = 30,621.97

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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.