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Finding the Fourth Proportional to 30,857.94, 46,279.96 and 14,201.98

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Solution

The fourth proportional to 30,857.94, 46,279.96 and 14,201.98 is: 21,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.94 : 46,279.96 = 14,201.98 : x
  2. Step 2: Convert to fraction form
    30,857.94/46,279.96 = 14,201.98/x
  3. Step 3: Cross multiply
    30,857.94x = 46,279.96 × 14,201.98
  4. Step 4: Simplify right side
    30,857.94x = 657,266,915.12
  5. Step 5: Solve for x
    x = 657,266,915.12/30,857.94
  6. Step 6: Final answer
    x = 21,299.77

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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.