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Finding the Fourth Proportional to 31,460.04, 47,190.06 and 10,683

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Solution

The fourth proportional to 31,460.04, 47,190.06 and 10,683 is: 16,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460.04 : 47,190.06 = 10,683 : x
  2. Step 2: Convert to fraction form
    31,460.04/47,190.06 = 10,683/x
  3. Step 3: Cross multiply
    31,460.04x = 47,190.06 × 10,683
  4. Step 4: Simplify right side
    31,460.04x = 504,131,410.98
  5. Step 5: Solve for x
    x = 504,131,410.98/31,460.04
  6. Step 6: Final answer
    x = 16,024.50

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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.