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Finding the Fourth Proportional to 30,757.44, 42,410.88 and 24,044.16

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Solution

The fourth proportional to 30,757.44, 42,410.88 and 24,044.16 is: 33,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,757.44 : 42,410.88 = 24,044.16 : x
  2. Step 2: Convert to fraction form
    30,757.44/42,410.88 = 24,044.16/x
  3. Step 3: Cross multiply
    30,757.44x = 42,410.88 × 24,044.16
  4. Step 4: Simplify right side
    30,757.44x = 1,019,733,984.46
  5. Step 5: Solve for x
    x = 1,019,733,984.46/30,757.44
  6. Step 6: Final answer
    x = 33,154.06

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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.