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Finding the Fourth Proportional to 32,776.32, 45,228.88 and 20,201.28

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Solution

The fourth proportional to 32,776.32, 45,228.88 and 20,201.28 is: 27,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.32 : 45,228.88 = 20,201.28 : x
  2. Step 2: Convert to fraction form
    32,776.32/45,228.88 = 20,201.28/x
  3. Step 3: Cross multiply
    32,776.32x = 45,228.88 × 20,201.28
  4. Step 4: Simplify right side
    32,776.32x = 913,681,268.97
  5. Step 5: Solve for x
    x = 913,681,268.97/32,776.32
  6. Step 6: Final answer
    x = 27,876.26

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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.