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Finding the Fourth Proportional to 31,744.66, 47,616.51 and 7,729.19

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Solution

The fourth proportional to 31,744.66, 47,616.51 and 7,729.19 is: 11,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.66 : 47,616.51 = 7,729.19 : x
  2. Step 2: Convert to fraction form
    31,744.66/47,616.51 = 7,729.19/x
  3. Step 3: Cross multiply
    31,744.66x = 47,616.51 × 7,729.19
  4. Step 4: Simplify right side
    31,744.66x = 368,036,895.24
  5. Step 5: Solve for x
    x = 368,036,895.24/31,744.66
  6. Step 6: Final answer
    x = 11,593.66

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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.