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Finding the Fourth Proportional to 46,057.44, 69,086 and 12,777.44

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Solution

The fourth proportional to 46,057.44, 69,086 and 12,777.44 is: 19,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,057.44 : 69,086 = 12,777.44 : x
  2. Step 2: Convert to fraction form
    46,057.44/69,086 = 12,777.44/x
  3. Step 3: Cross multiply
    46,057.44x = 69,086 × 12,777.44
  4. Step 4: Simplify right side
    46,057.44x = 882,742,219.84
  5. Step 5: Solve for x
    x = 882,742,219.84/46,057.44
  6. Step 6: Final answer
    x = 19,166.12

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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.