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Finding the Fourth Proportional to 46,858.29, 70,287.27 and 13,578.32

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Solution

The fourth proportional to 46,858.29, 70,287.27 and 13,578.32 is: 20,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,858.29 : 70,287.27 = 13,578.32 : x
  2. Step 2: Convert to fraction form
    46,858.29/70,287.27 = 13,578.32/x
  3. Step 3: Cross multiply
    46,858.29x = 70,287.27 × 13,578.32
  4. Step 4: Simplify right side
    46,858.29x = 954,382,692.55
  5. Step 5: Solve for x
    x = 954,382,692.55/46,858.29
  6. Step 6: Final answer
    x = 20,367.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.