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Finding the Fourth Proportional to 38,302.96, 52,858 and 21,535.96

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Solution

The fourth proportional to 38,302.96, 52,858 and 21,535.96 is: 29,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302.96 : 52,858 = 21,535.96 : x
  2. Step 2: Convert to fraction form
    38,302.96/52,858 = 21,535.96/x
  3. Step 3: Cross multiply
    38,302.96x = 52,858 × 21,535.96
  4. Step 4: Simplify right side
    38,302.96x = 1,138,347,773.68
  5. Step 5: Solve for x
    x = 1,138,347,773.68/38,302.96
  6. Step 6: Final answer
    x = 29,719.58

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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.