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Finding the Fourth Proportional to 30,578.71, 45,874.97 and 10,857.27

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Solution

The fourth proportional to 30,578.71, 45,874.97 and 10,857.27 is: 16,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.71 : 45,874.97 = 10,857.27 : x
  2. Step 2: Convert to fraction form
    30,578.71/45,874.97 = 10,857.27/x
  3. Step 3: Cross multiply
    30,578.71x = 45,874.97 × 10,857.27
  4. Step 4: Simplify right side
    30,578.71x = 498,076,881.25
  5. Step 5: Solve for x
    x = 498,076,881.25/30,578.71
  6. Step 6: Final answer
    x = 16,288.35

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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.