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Finding the Fourth Proportional to 38,965.98, 53,772.23 and 21,970.24

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Solution

The fourth proportional to 38,965.98, 53,772.23 and 21,970.24 is: 30,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965.98 : 53,772.23 = 21,970.24 : x
  2. Step 2: Convert to fraction form
    38,965.98/53,772.23 = 21,970.24/x
  3. Step 3: Cross multiply
    38,965.98x = 53,772.23 × 21,970.24
  4. Step 4: Simplify right side
    38,965.98x = 1,181,388,798.44
  5. Step 5: Solve for x
    x = 1,181,388,798.44/38,965.98
  6. Step 6: Final answer
    x = 30,318.47

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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.