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Finding the Fourth Proportional to 31,690.69, 47,541.70 and 10,637.59

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Solution

The fourth proportional to 31,690.69, 47,541.70 and 10,637.59 is: 15,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690.69 : 47,541.70 = 10,637.59 : x
  2. Step 2: Convert to fraction form
    31,690.69/47,541.70 = 10,637.59/x
  3. Step 3: Cross multiply
    31,690.69x = 47,541.70 × 10,637.59
  4. Step 4: Simplify right side
    31,690.69x = 505,729,118.06
  5. Step 5: Solve for x
    x = 505,729,118.06/31,690.69
  6. Step 6: Final answer
    x = 15,958.29

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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.