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Finding the Fourth Proportional to 39,376.50, 59,074.47 and 11,674.50

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Solution

The fourth proportional to 39,376.50, 59,074.47 and 11,674.50 is: 17,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,376.50 : 59,074.47 = 11,674.50 : x
  2. Step 2: Convert to fraction form
    39,376.50/59,074.47 = 11,674.50/x
  3. Step 3: Cross multiply
    39,376.50x = 59,074.47 × 11,674.50
  4. Step 4: Simplify right side
    39,376.50x = 689,664,900.02
  5. Step 5: Solve for x
    x = 689,664,900.02/39,376.50
  6. Step 6: Final answer
    x = 17,514.63

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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.