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Finding the Fourth Proportional to 38,211.95, 57,321 and 14,530.83

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Solution

The fourth proportional to 38,211.95, 57,321 and 14,530.83 is: 21,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,211.95 : 57,321 = 14,530.83 : x
  2. Step 2: Convert to fraction form
    38,211.95/57,321 = 14,530.83/x
  3. Step 3: Cross multiply
    38,211.95x = 57,321 × 14,530.83
  4. Step 4: Simplify right side
    38,211.95x = 832,921,706.43
  5. Step 5: Solve for x
    x = 832,921,706.43/38,211.95
  6. Step 6: Final answer
    x = 21,797.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.