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Finding the Fourth Proportional to 57,290.56, 85,706.10 and 47,449

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Solution

The fourth proportional to 57,290.56, 85,706.10 and 47,449 is: 70,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,290.56 : 85,706.10 = 47,449 : x
  2. Step 2: Convert to fraction form
    57,290.56/85,706.10 = 47,449/x
  3. Step 3: Cross multiply
    57,290.56x = 85,706.10 × 47,449
  4. Step 4: Simplify right side
    57,290.56x = 4,066,668,738.90
  5. Step 5: Solve for x
    x = 4,066,668,738.90/57,290.56
  6. Step 6: Final answer
    x = 70,983.23

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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.