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Finding the Fourth Proportional to 39,322.12, 54,264.42 and 22,555

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Solution

The fourth proportional to 39,322.12, 54,264.42 and 22,555 is: 31,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,322.12 : 54,264.42 = 22,555 : x
  2. Step 2: Convert to fraction form
    39,322.12/54,264.42 = 22,555/x
  3. Step 3: Cross multiply
    39,322.12x = 54,264.42 × 22,555
  4. Step 4: Simplify right side
    39,322.12x = 1,223,933,993.10
  5. Step 5: Solve for x
    x = 1,223,933,993.10/39,322.12
  6. Step 6: Final answer
    x = 31,125.84

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