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Finding the Fourth Proportional to 46,517.04, 69,765.84 and 15,345

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Solution

The fourth proportional to 46,517.04, 69,765.84 and 15,345 is: 23,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,517.04 : 69,765.84 = 15,345 : x
  2. Step 2: Convert to fraction form
    46,517.04/69,765.84 = 15,345/x
  3. Step 3: Cross multiply
    46,517.04x = 69,765.84 × 15,345
  4. Step 4: Simplify right side
    46,517.04x = 1,070,556,814.80
  5. Step 5: Solve for x
    x = 1,070,556,814.80/46,517.04
  6. Step 6: Final answer
    x = 23,014.29

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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.