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Finding the Fourth Proportional to 46,577.36, 69,879 and 25,815.44

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Solution

The fourth proportional to 46,577.36, 69,879 and 25,815.44 is: 38,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,577.36 : 69,879 = 25,815.44 : x
  2. Step 2: Convert to fraction form
    46,577.36/69,879 = 25,815.44/x
  3. Step 3: Cross multiply
    46,577.36x = 69,879 × 25,815.44
  4. Step 4: Simplify right side
    46,577.36x = 1,803,957,131.76
  5. Step 5: Solve for x
    x = 1,803,957,131.76/46,577.36
  6. Step 6: Final answer
    x = 38,730.34

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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.