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Finding the Fourth Proportional to 30,072.57, 45,107.82 and 14,285.16

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Solution

The fourth proportional to 30,072.57, 45,107.82 and 14,285.16 is: 21,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,072.57 : 45,107.82 = 14,285.16 : x
  2. Step 2: Convert to fraction form
    30,072.57/45,107.82 = 14,285.16/x
  3. Step 3: Cross multiply
    30,072.57x = 45,107.82 × 14,285.16
  4. Step 4: Simplify right side
    30,072.57x = 644,372,425.95
  5. Step 5: Solve for x
    x = 644,372,425.95/30,072.57
  6. Step 6: Final answer
    x = 21,427.25

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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.