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Finding the Fourth Proportional to 38,301.75, 52,856.42 and 21,534.75

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Solution

The fourth proportional to 38,301.75, 52,856.42 and 21,534.75 is: 29,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,301.75 : 52,856.42 = 21,534.75 : x
  2. Step 2: Convert to fraction form
    38,301.75/52,856.42 = 21,534.75/x
  3. Step 3: Cross multiply
    38,301.75x = 52,856.42 × 21,534.75
  4. Step 4: Simplify right side
    38,301.75x = 1,138,249,682.92
  5. Step 5: Solve for x
    x = 1,138,249,682.92/38,301.75
  6. Step 6: Final answer
    x = 29,717.96

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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.