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Finding the Fourth Proportional to 30,796.36, 42,523.02 and 24,101.08

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Solution

The fourth proportional to 30,796.36, 42,523.02 and 24,101.08 is: 33,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.36 : 42,523.02 = 24,101.08 : x
  2. Step 2: Convert to fraction form
    30,796.36/42,523.02 = 24,101.08/x
  3. Step 3: Cross multiply
    30,796.36x = 42,523.02 × 24,101.08
  4. Step 4: Simplify right side
    30,796.36x = 1,024,850,600.55
  5. Step 5: Solve for x
    x = 1,024,850,600.55/30,796.36
  6. Step 6: Final answer
    x = 33,278.31

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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.