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Finding the Fourth Proportional to 30,241.82, 45,355.80 and 11,523.98

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Solution

The fourth proportional to 30,241.82, 45,355.80 and 11,523.98 is: 17,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241.82 : 45,355.80 = 11,523.98 : x
  2. Step 2: Convert to fraction form
    30,241.82/45,355.80 = 11,523.98/x
  3. Step 3: Cross multiply
    30,241.82x = 45,355.80 × 11,523.98
  4. Step 4: Simplify right side
    30,241.82x = 522,679,332.08
  5. Step 5: Solve for x
    x = 522,679,332.08/30,241.82
  6. Step 6: Final answer
    x = 17,283.33

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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.