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Finding the Fourth Proportional to 30,640.36, 45,950.80 and 9,859

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Solution

The fourth proportional to 30,640.36, 45,950.80 and 9,859 is: 14,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.36 : 45,950.80 = 9,859 : x
  2. Step 2: Convert to fraction form
    30,640.36/45,950.80 = 9,859/x
  3. Step 3: Cross multiply
    30,640.36x = 45,950.80 × 9,859
  4. Step 4: Simplify right side
    30,640.36x = 453,028,937.20
  5. Step 5: Solve for x
    x = 453,028,937.20/30,640.36
  6. Step 6: Final answer
    x = 14,785.37

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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.