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Finding the Fourth Proportional to 30,174.30, 45,261.18 and 9,114.30

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Solution

The fourth proportional to 30,174.30, 45,261.18 and 9,114.30 is: 13,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,174.30 : 45,261.18 = 9,114.30 : x
  2. Step 2: Convert to fraction form
    30,174.30/45,261.18 = 9,114.30/x
  3. Step 3: Cross multiply
    30,174.30x = 45,261.18 × 9,114.30
  4. Step 4: Simplify right side
    30,174.30x = 412,523,972.87
  5. Step 5: Solve for x
    x = 412,523,972.87/30,174.30
  6. Step 6: Final answer
    x = 13,671.37

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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.