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Finding the Fourth Proportional to 114,289.77, 171,432.81 and 31,183.77

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Solution

The fourth proportional to 114,289.77, 171,432.81 and 31,183.77 is: 46,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,289.77 : 171,432.81 = 31,183.77 : x
  2. Step 2: Convert to fraction form
    114,289.77/171,432.81 = 31,183.77/x
  3. Step 3: Cross multiply
    114,289.77x = 171,432.81 × 31,183.77
  4. Step 4: Simplify right side
    114,289.77x = 5,345,921,317.49
  5. Step 5: Solve for x
    x = 5,345,921,317.49/114,289.77
  6. Step 6: Final answer
    x = 46,775.15

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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.