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Finding the Fourth Proportional to 39,698.37, 54,784.38 and 21,795

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Solution

The fourth proportional to 39,698.37, 54,784.38 and 21,795 is: 30,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,698.37 : 54,784.38 = 21,795 : x
  2. Step 2: Convert to fraction form
    39,698.37/54,784.38 = 21,795/x
  3. Step 3: Cross multiply
    39,698.37x = 54,784.38 × 21,795
  4. Step 4: Simplify right side
    39,698.37x = 1,194,025,562.10
  5. Step 5: Solve for x
    x = 1,194,025,562.10/39,698.37
  6. Step 6: Final answer
    x = 30,077.45

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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.