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Finding the Fourth Proportional to 30,151.44, 45,215.28 and 9,084.96

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Solution

The fourth proportional to 30,151.44, 45,215.28 and 9,084.96 is: 13,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.44 : 45,215.28 = 9,084.96 : x
  2. Step 2: Convert to fraction form
    30,151.44/45,215.28 = 9,084.96/x
  3. Step 3: Cross multiply
    30,151.44x = 45,215.28 × 9,084.96
  4. Step 4: Simplify right side
    30,151.44x = 410,779,010.19
  5. Step 5: Solve for x
    x = 410,779,010.19/30,151.44
  6. Step 6: Final answer
    x = 13,623.86

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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.