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Finding the Fourth Proportional to 31,426.40, 47,136.36 and 10,649.36

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Solution

The fourth proportional to 31,426.40, 47,136.36 and 10,649.36 is: 15,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,426.40 : 47,136.36 = 10,649.36 : x
  2. Step 2: Convert to fraction form
    31,426.40/47,136.36 = 10,649.36/x
  3. Step 3: Cross multiply
    31,426.40x = 47,136.36 × 10,649.36
  4. Step 4: Simplify right side
    31,426.40x = 501,972,066.73
  5. Step 5: Solve for x
    x = 501,972,066.73/31,426.40
  6. Step 6: Final answer
    x = 15,972.94

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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.