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Finding the Fourth Proportional to 45,473.67, 68,189.85 and 19,164.06

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Solution

The fourth proportional to 45,473.67, 68,189.85 and 19,164.06 is: 28,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,473.67 : 68,189.85 = 19,164.06 : x
  2. Step 2: Convert to fraction form
    45,473.67/68,189.85 = 19,164.06/x
  3. Step 3: Cross multiply
    45,473.67x = 68,189.85 × 19,164.06
  4. Step 4: Simplify right side
    45,473.67x = 1,306,794,376.79
  5. Step 5: Solve for x
    x = 1,306,794,376.79/45,473.67
  6. Step 6: Final answer
    x = 28,737.39

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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.