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Finding the Fourth Proportional to 38,314.58, 52,861.80 and 23,202.40

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Solution

The fourth proportional to 38,314.58, 52,861.80 and 23,202.40 is: 32,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314.58 : 52,861.80 = 23,202.40 : x
  2. Step 2: Convert to fraction form
    38,314.58/52,861.80 = 23,202.40/x
  3. Step 3: Cross multiply
    38,314.58x = 52,861.80 × 23,202.40
  4. Step 4: Simplify right side
    38,314.58x = 1,226,520,628.32
  5. Step 5: Solve for x
    x = 1,226,520,628.32/38,314.58
  6. Step 6: Final answer
    x = 32,011.85

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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.