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Finding the Fourth Proportional to 46,051.39, 69,077.09 and 12,771.46

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Solution

The fourth proportional to 46,051.39, 69,077.09 and 12,771.46 is: 19,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,051.39 : 69,077.09 = 12,771.46 : x
  2. Step 2: Convert to fraction form
    46,051.39/69,077.09 = 12,771.46/x
  3. Step 3: Cross multiply
    46,051.39x = 69,077.09 × 12,771.46
  4. Step 4: Simplify right side
    46,051.39x = 882,215,291.85
  5. Step 5: Solve for x
    x = 882,215,291.85/46,051.39
  6. Step 6: Final answer
    x = 19,157.19

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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.