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Finding the Fourth Proportional to 32,796.32, 45,258.64 and 20,224.16

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Solution

The fourth proportional to 32,796.32, 45,258.64 and 20,224.16 is: 27,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796.32 : 45,258.64 = 20,224.16 : x
  2. Step 2: Convert to fraction form
    32,796.32/45,258.64 = 20,224.16/x
  3. Step 3: Cross multiply
    32,796.32x = 45,258.64 × 20,224.16
  4. Step 4: Simplify right side
    32,796.32x = 915,317,976.74
  5. Step 5: Solve for x
    x = 915,317,976.74/32,796.32
  6. Step 6: Final answer
    x = 27,909.17

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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.