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Finding the Fourth Proportional to 51,861.48, 71,570.30 and 31,718

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Solution

The fourth proportional to 51,861.48, 71,570.30 and 31,718 is: 43,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,861.48 : 71,570.30 = 31,718 : x
  2. Step 2: Convert to fraction form
    51,861.48/71,570.30 = 31,718/x
  3. Step 3: Cross multiply
    51,861.48x = 71,570.30 × 31,718
  4. Step 4: Simplify right side
    51,861.48x = 2,270,066,775.40
  5. Step 5: Solve for x
    x = 2,270,066,775.40/51,861.48
  6. Step 6: Final answer
    x = 43,771.73

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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.