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Finding the Fourth Proportional to 34,433.96, 47,520.42 and 26,969

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Solution

The fourth proportional to 34,433.96, 47,520.42 and 26,969 is: 37,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,433.96 : 47,520.42 = 26,969 : x
  2. Step 2: Convert to fraction form
    34,433.96/47,520.42 = 26,969/x
  3. Step 3: Cross multiply
    34,433.96x = 47,520.42 × 26,969
  4. Step 4: Simplify right side
    34,433.96x = 1,281,578,206.98
  5. Step 5: Solve for x
    x = 1,281,578,206.98/34,433.96
  6. Step 6: Final answer
    x = 37,218.44

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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.