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Finding the Fourth Proportional to 38,966.18, 53,772.24 and 21,970.28

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Solution

The fourth proportional to 38,966.18, 53,772.24 and 21,970.28 is: 30,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,966.18 : 53,772.24 = 21,970.28 : x
  2. Step 2: Convert to fraction form
    38,966.18/53,772.24 = 21,970.28/x
  3. Step 3: Cross multiply
    38,966.18x = 53,772.24 × 21,970.28
  4. Step 4: Simplify right side
    38,966.18x = 1,181,391,169.03
  5. Step 5: Solve for x
    x = 1,181,391,169.03/38,966.18
  6. Step 6: Final answer
    x = 30,318.37

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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.