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Finding the Fourth Proportional to 32,947.60, 45,455.92 and 20,196.17

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Solution

The fourth proportional to 32,947.60, 45,455.92 and 20,196.17 is: 27,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.60 : 45,455.92 = 20,196.17 : x
  2. Step 2: Convert to fraction form
    32,947.60/45,455.92 = 20,196.17/x
  3. Step 3: Cross multiply
    32,947.60x = 45,455.92 × 20,196.17
  4. Step 4: Simplify right side
    32,947.60x = 918,035,749.81
  5. Step 5: Solve for x
    x = 918,035,749.81/32,947.60
  6. Step 6: Final answer
    x = 27,863.51

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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.