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Finding the Fourth Proportional to 30,116.28, 45,174.02 and 9,339.78

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Solution

The fourth proportional to 30,116.28, 45,174.02 and 9,339.78 is: 14,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,116.28 : 45,174.02 = 9,339.78 : x
  2. Step 2: Convert to fraction form
    30,116.28/45,174.02 = 9,339.78/x
  3. Step 3: Cross multiply
    30,116.28x = 45,174.02 × 9,339.78
  4. Step 4: Simplify right side
    30,116.28x = 421,915,361.82
  5. Step 5: Solve for x
    x = 421,915,361.82/30,116.28
  6. Step 6: Final answer
    x = 14,009.54

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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.