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Finding the Fourth Proportional to 35,266.60, 52,899.60 and 8,971

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Solution

The fourth proportional to 35,266.60, 52,899.60 and 8,971 is: 13,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,266.60 : 52,899.60 = 8,971 : x
  2. Step 2: Convert to fraction form
    35,266.60/52,899.60 = 8,971/x
  3. Step 3: Cross multiply
    35,266.60x = 52,899.60 × 8,971
  4. Step 4: Simplify right side
    35,266.60x = 474,562,311.60
  5. Step 5: Solve for x
    x = 474,562,311.60/35,266.60
  6. Step 6: Final answer
    x = 13,456.42

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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.