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Finding the Fourth Proportional to 30,077.28, 45,121.92 and 9,300

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Solution

The fourth proportional to 30,077.28, 45,121.92 and 9,300 is: 13,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.28 : 45,121.92 = 9,300 : x
  2. Step 2: Convert to fraction form
    30,077.28/45,121.92 = 9,300/x
  3. Step 3: Cross multiply
    30,077.28x = 45,121.92 × 9,300
  4. Step 4: Simplify right side
    30,077.28x = 419,633,856
  5. Step 5: Solve for x
    x = 419,633,856/30,077.28
  6. Step 6: Final answer
    x = 13,951.86

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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.