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Finding the Fourth Proportional to 38,461.28, 53,076.48 and 21,694.16

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Solution

The fourth proportional to 38,461.28, 53,076.48 and 21,694.16 is: 29,937.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.28 : 53,076.48 = 21,694.16 : x
  2. Step 2: Convert to fraction form
    38,461.28/53,076.48 = 21,694.16/x
  3. Step 3: Cross multiply
    38,461.28x = 53,076.48 × 21,694.16
  4. Step 4: Simplify right side
    38,461.28x = 1,151,449,649.36
  5. Step 5: Solve for x
    x = 1,151,449,649.36/38,461.28
  6. Step 6: Final answer
    x = 29,937.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.