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Finding the Fourth Proportional to 105,002.96, 157,608.12 and 45,879.44

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Solution

The fourth proportional to 105,002.96, 157,608.12 and 45,879.44 is: 68,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,002.96 : 157,608.12 = 45,879.44 : x
  2. Step 2: Convert to fraction form
    105,002.96/157,608.12 = 45,879.44/x
  3. Step 3: Cross multiply
    105,002.96x = 157,608.12 × 45,879.44
  4. Step 4: Simplify right side
    105,002.96x = 7,230,972,285.05
  5. Step 5: Solve for x
    x = 7,230,972,285.05/105,002.96
  6. Step 6: Final answer
    x = 68,864.46

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1.5x scale

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.