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Finding the Fourth Proportional to 38,410.64, 53,008.68 and 21,645.20

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Solution

The fourth proportional to 38,410.64, 53,008.68 and 21,645.20 is: 29,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410.64 : 53,008.68 = 21,645.20 : x
  2. Step 2: Convert to fraction form
    38,410.64/53,008.68 = 21,645.20/x
  3. Step 3: Cross multiply
    38,410.64x = 53,008.68 × 21,645.20
  4. Step 4: Simplify right side
    38,410.64x = 1,147,383,480.34
  5. Step 5: Solve for x
    x = 1,147,383,480.34/38,410.64
  6. Step 6: Final answer
    x = 29,871.50

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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.