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Finding the Fourth Proportional to 35,382.27, 48,828 and 19,466.40

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Solution

The fourth proportional to 35,382.27, 48,828 and 19,466.40 is: 26,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,382.27 : 48,828 = 19,466.40 : x
  2. Step 2: Convert to fraction form
    35,382.27/48,828 = 19,466.40/x
  3. Step 3: Cross multiply
    35,382.27x = 48,828 × 19,466.40
  4. Step 4: Simplify right side
    35,382.27x = 950,505,379.20
  5. Step 5: Solve for x
    x = 950,505,379.20/35,382.27
  6. Step 6: Final answer
    x = 26,863.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.