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Finding the Fourth Proportional to 34,235.50, 51,357.57 and 11,750.56

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Solution

The fourth proportional to 34,235.50, 51,357.57 and 11,750.56 is: 17,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,235.50 : 51,357.57 = 11,750.56 : x
  2. Step 2: Convert to fraction form
    34,235.50/51,357.57 = 11,750.56/x
  3. Step 3: Cross multiply
    34,235.50x = 51,357.57 × 11,750.56
  4. Step 4: Simplify right side
    34,235.50x = 603,480,207.74
  5. Step 5: Solve for x
    x = 603,480,207.74/34,235.50
  6. Step 6: Final answer
    x = 17,627.32

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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.