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Finding the Fourth Proportional to 77,949.44, 107,544.72 and 47,703.22

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Solution

The fourth proportional to 77,949.44, 107,544.72 and 47,703.22 is: 65,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,949.44 : 107,544.72 = 47,703.22 : x
  2. Step 2: Convert to fraction form
    77,949.44/107,544.72 = 47,703.22/x
  3. Step 3: Cross multiply
    77,949.44x = 107,544.72 × 47,703.22
  4. Step 4: Simplify right side
    77,949.44x = 5,130,229,438.00
  5. Step 5: Solve for x
    x = 5,130,229,438.00/77,949.44
  6. Step 6: Final answer
    x = 65,814.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.