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Finding the Fourth Proportional to 97,810.56, 146,692.24 and 45,169.44

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Solution

The fourth proportional to 97,810.56, 146,692.24 and 45,169.44 is: 67,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,810.56 : 146,692.24 = 45,169.44 : x
  2. Step 2: Convert to fraction form
    97,810.56/146,692.24 = 45,169.44/x
  3. Step 3: Cross multiply
    97,810.56x = 146,692.24 × 45,169.44
  4. Step 4: Simplify right side
    97,810.56x = 6,626,006,333.15
  5. Step 5: Solve for x
    x = 6,626,006,333.15/97,810.56
  6. Step 6: Final answer
    x = 67,743.26

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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.