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Finding the Fourth Proportional to 31,735.50, 47,603.09 and 14,193.02

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Solution

The fourth proportional to 31,735.50, 47,603.09 and 14,193.02 is: 21,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735.50 : 47,603.09 = 14,193.02 : x
  2. Step 2: Convert to fraction form
    31,735.50/47,603.09 = 14,193.02/x
  3. Step 3: Cross multiply
    31,735.50x = 47,603.09 × 14,193.02
  4. Step 4: Simplify right side
    31,735.50x = 675,631,762.92
  5. Step 5: Solve for x
    x = 675,631,762.92/31,735.50
  6. Step 6: Final answer
    x = 21,289.47

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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.