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Finding the Fourth Proportional to 31,589.26, 47,368.02 and 10,521.84

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Solution

The fourth proportional to 31,589.26, 47,368.02 and 10,521.84 is: 15,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,589.26 : 47,368.02 = 10,521.84 : x
  2. Step 2: Convert to fraction form
    31,589.26/47,368.02 = 10,521.84/x
  3. Step 3: Cross multiply
    31,589.26x = 47,368.02 × 10,521.84
  4. Step 4: Simplify right side
    31,589.26x = 498,398,727.56
  5. Step 5: Solve for x
    x = 498,398,727.56/31,589.26
  6. Step 6: Final answer
    x = 15,777.47

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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.