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Finding the Fourth Proportional to 38,406.96, 53,004.78 and 21,408.91

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Solution

The fourth proportional to 38,406.96, 53,004.78 and 21,408.91 is: 29,546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406.96 : 53,004.78 = 21,408.91 : x
  2. Step 2: Convert to fraction form
    38,406.96/53,004.78 = 21,408.91/x
  3. Step 3: Cross multiply
    38,406.96x = 53,004.78 × 21,408.91
  4. Step 4: Simplify right side
    38,406.96x = 1,134,774,432.08
  5. Step 5: Solve for x
    x = 1,134,774,432.08/38,406.96
  6. Step 6: Final answer
    x = 29,546.06

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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.