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Finding the Fourth Proportional to 27,379.28, 37,783.38 and 14,804

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Solution

The fourth proportional to 27,379.28, 37,783.38 and 14,804 is: 20,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,379.28 : 37,783.38 = 14,804 : x
  2. Step 2: Convert to fraction form
    27,379.28/37,783.38 = 14,804/x
  3. Step 3: Cross multiply
    27,379.28x = 37,783.38 × 14,804
  4. Step 4: Simplify right side
    27,379.28x = 559,345,157.52
  5. Step 5: Solve for x
    x = 559,345,157.52/27,379.28
  6. Step 6: Final answer
    x = 20,429.51

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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.