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Finding the Fourth Proportional to 38,649.82, 53,335.81 and 21,654.77

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Solution

The fourth proportional to 38,649.82, 53,335.81 and 21,654.77 is: 29,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,649.82 : 53,335.81 = 21,654.77 : x
  2. Step 2: Convert to fraction form
    38,649.82/53,335.81 = 21,654.77/x
  3. Step 3: Cross multiply
    38,649.82x = 53,335.81 × 21,654.77
  4. Step 4: Simplify right side
    38,649.82x = 1,154,974,777.52
  5. Step 5: Solve for x
    x = 1,154,974,777.52/38,649.82
  6. Step 6: Final answer
    x = 29,883.06

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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.