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Finding the Fourth Proportional to 30,033.38, 45,043.09 and 11,315.30

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Solution

The fourth proportional to 30,033.38, 45,043.09 and 11,315.30 is: 16,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,033.38 : 45,043.09 = 11,315.30 : x
  2. Step 2: Convert to fraction form
    30,033.38/45,043.09 = 11,315.30/x
  3. Step 3: Cross multiply
    30,033.38x = 45,043.09 × 11,315.30
  4. Step 4: Simplify right side
    30,033.38x = 509,675,822.77
  5. Step 5: Solve for x
    x = 509,675,822.77/30,033.38
  6. Step 6: Final answer
    x = 16,970.31

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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.