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Finding the Fourth Proportional to 30,541.68, 42,144.64 and 20,989.96

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Solution

The fourth proportional to 30,541.68, 42,144.64 and 20,989.96 is: 28,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.68 : 42,144.64 = 20,989.96 : x
  2. Step 2: Convert to fraction form
    30,541.68/42,144.64 = 20,989.96/x
  3. Step 3: Cross multiply
    30,541.68x = 42,144.64 × 20,989.96
  4. Step 4: Simplify right side
    30,541.68x = 884,614,149.98
  5. Step 5: Solve for x
    x = 884,614,149.98/30,541.68
  6. Step 6: Final answer
    x = 28,964.16

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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.