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Finding the Fourth Proportional to 38,706.67, 58,085.88 and 14,082.67

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Solution

The fourth proportional to 38,706.67, 58,085.88 and 14,082.67 is: 21,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.67 : 58,085.88 = 14,082.67 : x
  2. Step 2: Convert to fraction form
    38,706.67/58,085.88 = 14,082.67/x
  3. Step 3: Cross multiply
    38,706.67x = 58,085.88 × 14,082.67
  4. Step 4: Simplify right side
    38,706.67x = 818,004,279.70
  5. Step 5: Solve for x
    x = 818,004,279.70/38,706.67
  6. Step 6: Final answer
    x = 21,133.42

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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.