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Finding the Fourth Proportional to 38,772.97, 53,506.71 and 21,777.24

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Solution

The fourth proportional to 38,772.97, 53,506.71 and 21,777.24 is: 30,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,772.97 : 53,506.71 = 21,777.24 : x
  2. Step 2: Convert to fraction form
    38,772.97/53,506.71 = 21,777.24/x
  3. Step 3: Cross multiply
    38,772.97x = 53,506.71 × 21,777.24
  4. Step 4: Simplify right side
    38,772.97x = 1,165,228,088.86
  5. Step 5: Solve for x
    x = 1,165,228,088.86/38,772.97
  6. Step 6: Final answer
    x = 30,052.59

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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.