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Finding the Fourth Proportional to 30,771.98, 42,464.09 and 17,346.01

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Solution

The fourth proportional to 30,771.98, 42,464.09 and 17,346.01 is: 23,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.98 : 42,464.09 = 17,346.01 : x
  2. Step 2: Convert to fraction form
    30,771.98/42,464.09 = 17,346.01/x
  3. Step 3: Cross multiply
    30,771.98x = 42,464.09 × 17,346.01
  4. Step 4: Simplify right side
    30,771.98x = 736,582,737.24
  5. Step 5: Solve for x
    x = 736,582,737.24/30,771.98
  6. Step 6: Final answer
    x = 23,936.80

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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.