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Finding the Fourth Proportional to 32,653.14, 44,991.45 and 22,024.14

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Solution

The fourth proportional to 32,653.14, 44,991.45 and 22,024.14 is: 30,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,653.14 : 44,991.45 = 22,024.14 : x
  2. Step 2: Convert to fraction form
    32,653.14/44,991.45 = 22,024.14/x
  3. Step 3: Cross multiply
    32,653.14x = 44,991.45 × 22,024.14
  4. Step 4: Simplify right side
    32,653.14x = 990,897,993.60
  5. Step 5: Solve for x
    x = 990,897,993.60/32,653.14
  6. Step 6: Final answer
    x = 30,346.18

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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.