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Finding the Fourth Proportional to 32,020.64, 48,030.96 and 16,428.32

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Solution

The fourth proportional to 32,020.64, 48,030.96 and 16,428.32 is: 24,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020.64 : 48,030.96 = 16,428.32 : x
  2. Step 2: Convert to fraction form
    32,020.64/48,030.96 = 16,428.32/x
  3. Step 3: Cross multiply
    32,020.64x = 48,030.96 × 16,428.32
  4. Step 4: Simplify right side
    32,020.64x = 789,067,980.79
  5. Step 5: Solve for x
    x = 789,067,980.79/32,020.64
  6. Step 6: Final answer
    x = 24,642.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.