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Finding the Fourth Proportional to 38,074.50, 52,537.14 and 22,956.66

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Solution

The fourth proportional to 38,074.50, 52,537.14 and 22,956.66 is: 31,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,074.50 : 52,537.14 = 22,956.66 : x
  2. Step 2: Convert to fraction form
    38,074.50/52,537.14 = 22,956.66/x
  3. Step 3: Cross multiply
    38,074.50x = 52,537.14 × 22,956.66
  4. Step 4: Simplify right side
    38,074.50x = 1,206,077,260.35
  5. Step 5: Solve for x
    x = 1,206,077,260.35/38,074.50
  6. Step 6: Final answer
    x = 31,676.77

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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.