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Finding the Fourth Proportional to 105,494.51, 158,241.77 and 31,622.51

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Solution

The fourth proportional to 105,494.51, 158,241.77 and 31,622.51 is: 47,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,494.51 : 158,241.77 = 31,622.51 : x
  2. Step 2: Convert to fraction form
    105,494.51/158,241.77 = 31,622.51/x
  3. Step 3: Cross multiply
    105,494.51x = 158,241.77 × 31,622.51
  4. Step 4: Simplify right side
    105,494.51x = 5,004,001,004.92
  5. Step 5: Solve for x
    x = 5,004,001,004.92/105,494.51
  6. Step 6: Final answer
    x = 47,433.76

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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.