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Finding the Fourth Proportional to 31,871.73, 47,812.02 and 14,100.99

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Solution

The fourth proportional to 31,871.73, 47,812.02 and 14,100.99 is: 21,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.73 : 47,812.02 = 14,100.99 : x
  2. Step 2: Convert to fraction form
    31,871.73/47,812.02 = 14,100.99/x
  3. Step 3: Cross multiply
    31,871.73x = 47,812.02 × 14,100.99
  4. Step 4: Simplify right side
    31,871.73x = 674,196,663.04
  5. Step 5: Solve for x
    x = 674,196,663.04/31,871.73
  6. Step 6: Final answer
    x = 21,153.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.