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Finding the Fourth Proportional to 34,101.70, 51,129.41 and 11,902.94

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Solution

The fourth proportional to 34,101.70, 51,129.41 and 11,902.94 is: 17,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,101.70 : 51,129.41 = 11,902.94 : x
  2. Step 2: Convert to fraction form
    34,101.70/51,129.41 = 11,902.94/x
  3. Step 3: Cross multiply
    34,101.70x = 51,129.41 × 11,902.94
  4. Step 4: Simplify right side
    34,101.70x = 608,590,299.47
  5. Step 5: Solve for x
    x = 608,590,299.47/34,101.70
  6. Step 6: Final answer
    x = 17,846.33

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1.5x scale

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.