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Finding the Fourth Proportional to 39,673.34, 59,509.64 and 13,375.82

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Solution

The fourth proportional to 39,673.34, 59,509.64 and 13,375.82 is: 20,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,673.34 : 59,509.64 = 13,375.82 : x
  2. Step 2: Convert to fraction form
    39,673.34/59,509.64 = 13,375.82/x
  3. Step 3: Cross multiply
    39,673.34x = 59,509.64 × 13,375.82
  4. Step 4: Simplify right side
    39,673.34x = 795,990,232.90
  5. Step 5: Solve for x
    x = 795,990,232.90/39,673.34
  6. Step 6: Final answer
    x = 20,063.61

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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.