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Finding the Fourth Proportional to 51,767.34, 77,648.22 and 16,707

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Solution

The fourth proportional to 51,767.34, 77,648.22 and 16,707 is: 25,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,767.34 : 77,648.22 = 16,707 : x
  2. Step 2: Convert to fraction form
    51,767.34/77,648.22 = 16,707/x
  3. Step 3: Cross multiply
    51,767.34x = 77,648.22 × 16,707
  4. Step 4: Simplify right side
    51,767.34x = 1,297,268,811.54
  5. Step 5: Solve for x
    x = 1,297,268,811.54/51,767.34
  6. Step 6: Final answer
    x = 25,059.60

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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.