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Finding the Fourth Proportional to 38,976.32, 53,796.94 and 23,866.24

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Solution

The fourth proportional to 38,976.32, 53,796.94 and 23,866.24 is: 32,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,976.32 : 53,796.94 = 23,866.24 : x
  2. Step 2: Convert to fraction form
    38,976.32/53,796.94 = 23,866.24/x
  3. Step 3: Cross multiply
    38,976.32x = 53,796.94 × 23,866.24
  4. Step 4: Simplify right side
    38,976.32x = 1,283,930,681.31
  5. Step 5: Solve for x
    x = 1,283,930,681.31/38,976.32
  6. Step 6: Final answer
    x = 32,941.30

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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.