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Finding the Fourth Proportional to 32,374.14, 44,682.96 and 20,429.46

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Solution

The fourth proportional to 32,374.14, 44,682.96 and 20,429.46 is: 28,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,374.14 : 44,682.96 = 20,429.46 : x
  2. Step 2: Convert to fraction form
    32,374.14/44,682.96 = 20,429.46/x
  3. Step 3: Cross multiply
    32,374.14x = 44,682.96 × 20,429.46
  4. Step 4: Simplify right side
    32,374.14x = 912,848,744.00
  5. Step 5: Solve for x
    x = 912,848,744.00/32,374.14
  6. Step 6: Final answer
    x = 28,196.85

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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.