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Finding the Fourth Proportional to 30,076.31, 45,116.90 and 9,299.81

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Solution

The fourth proportional to 30,076.31, 45,116.90 and 9,299.81 is: 13,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.31 : 45,116.90 = 9,299.81 : x
  2. Step 2: Convert to fraction form
    30,076.31/45,116.90 = 9,299.81/x
  3. Step 3: Cross multiply
    30,076.31x = 45,116.90 × 9,299.81
  4. Step 4: Simplify right side
    30,076.31x = 419,578,698.96
  5. Step 5: Solve for x
    x = 419,578,698.96/30,076.31
  6. Step 6: Final answer
    x = 13,950.47

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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.