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Finding the Fourth Proportional to 32,983.32, 45,517.02 and 19,561.16

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Solution

The fourth proportional to 32,983.32, 45,517.02 and 19,561.16 is: 26,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.32 : 45,517.02 = 19,561.16 : x
  2. Step 2: Convert to fraction form
    32,983.32/45,517.02 = 19,561.16/x
  3. Step 3: Cross multiply
    32,983.32x = 45,517.02 × 19,561.16
  4. Step 4: Simplify right side
    32,983.32x = 890,365,710.94
  5. Step 5: Solve for x
    x = 890,365,710.94/32,983.32
  6. Step 6: Final answer
    x = 26,994.42

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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.