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Finding the Fourth Proportional to 29,993.52, 44,991 and 10,271.94

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Solution

The fourth proportional to 29,993.52, 44,991 and 10,271.94 is: 15,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,993.52 : 44,991 = 10,271.94 : x
  2. Step 2: Convert to fraction form
    29,993.52/44,991 = 10,271.94/x
  3. Step 3: Cross multiply
    29,993.52x = 44,991 × 10,271.94
  4. Step 4: Simplify right side
    29,993.52x = 462,144,852.54
  5. Step 5: Solve for x
    x = 462,144,852.54/29,993.52
  6. Step 6: Final answer
    x = 15,408.16

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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.