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Finding the Fourth Proportional to 30,858.68, 46,278.40 and 11,134.64

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Solution

The fourth proportional to 30,858.68, 46,278.40 and 11,134.64 is: 16,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.68 : 46,278.40 = 11,134.64 : x
  2. Step 2: Convert to fraction form
    30,858.68/46,278.40 = 11,134.64/x
  3. Step 3: Cross multiply
    30,858.68x = 46,278.40 × 11,134.64
  4. Step 4: Simplify right side
    30,858.68x = 515,293,323.78
  5. Step 5: Solve for x
    x = 515,293,323.78/30,858.68
  6. Step 6: Final answer
    x = 16,698.49

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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.