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Finding the Fourth Proportional to 77,794.40, 116,749.20 and 31,080.80

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Solution

The fourth proportional to 77,794.40, 116,749.20 and 31,080.80 is: 46,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,794.40 : 116,749.20 = 31,080.80 : x
  2. Step 2: Convert to fraction form
    77,794.40/116,749.20 = 31,080.80/x
  3. Step 3: Cross multiply
    77,794.40x = 116,749.20 × 31,080.80
  4. Step 4: Simplify right side
    77,794.40x = 3,628,658,535.36
  5. Step 5: Solve for x
    x = 3,628,658,535.36/77,794.40
  6. Step 6: Final answer
    x = 46,644.21

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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.