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Finding the Fourth Proportional to 34,291.16, 51,436.14 and 10,917.32

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Solution

The fourth proportional to 34,291.16, 51,436.14 and 10,917.32 is: 16,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,291.16 : 51,436.14 = 10,917.32 : x
  2. Step 2: Convert to fraction form
    34,291.16/51,436.14 = 10,917.32/x
  3. Step 3: Cross multiply
    34,291.16x = 51,436.14 × 10,917.32
  4. Step 4: Simplify right side
    34,291.16x = 561,544,799.94
  5. Step 5: Solve for x
    x = 561,544,799.94/34,291.16
  6. Step 6: Final answer
    x = 16,375.79

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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.