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Finding the Fourth Proportional to 46,858.53, 70,287.82 and 13,578.64

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Solution

The fourth proportional to 46,858.53, 70,287.82 and 13,578.64 is: 20,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,858.53 : 70,287.82 = 13,578.64 : x
  2. Step 2: Convert to fraction form
    46,858.53/70,287.82 = 13,578.64/x
  3. Step 3: Cross multiply
    46,858.53x = 70,287.82 × 13,578.64
  4. Step 4: Simplify right side
    46,858.53x = 954,412,794.50
  5. Step 5: Solve for x
    x = 954,412,794.50/46,858.53
  6. Step 6: Final answer
    x = 20,367.96

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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.