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Finding the Fourth Proportional to 84,559.48, 116,692.94 and 51,019

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Solution

The fourth proportional to 84,559.48, 116,692.94 and 51,019 is: 70,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,559.48 : 116,692.94 = 51,019 : x
  2. Step 2: Convert to fraction form
    84,559.48/116,692.94 = 51,019/x
  3. Step 3: Cross multiply
    84,559.48x = 116,692.94 × 51,019
  4. Step 4: Simplify right side
    84,559.48x = 5,953,557,105.86
  5. Step 5: Solve for x
    x = 5,953,557,105.86/84,559.48
  6. Step 6: Final answer
    x = 70,406.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.