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Finding the Fourth Proportional to 46,246.75, 69,381.06 and 15,082

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Solution

The fourth proportional to 46,246.75, 69,381.06 and 15,082 is: 22,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,246.75 : 69,381.06 = 15,082 : x
  2. Step 2: Convert to fraction form
    46,246.75/69,381.06 = 15,082/x
  3. Step 3: Cross multiply
    46,246.75x = 69,381.06 × 15,082
  4. Step 4: Simplify right side
    46,246.75x = 1,046,405,146.92
  5. Step 5: Solve for x
    x = 1,046,405,146.92/46,246.75
  6. Step 6: Final answer
    x = 22,626.57

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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.