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Finding the Fourth Proportional to 77,882.88, 116,880.64 and 31,148.80

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Solution

The fourth proportional to 77,882.88, 116,880.64 and 31,148.80 is: 46,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.88 : 116,880.64 = 31,148.80 : x
  2. Step 2: Convert to fraction form
    77,882.88/116,880.64 = 31,148.80/x
  3. Step 3: Cross multiply
    77,882.88x = 116,880.64 × 31,148.80
  4. Step 4: Simplify right side
    77,882.88x = 3,640,691,679.23
  5. Step 5: Solve for x
    x = 3,640,691,679.23/77,882.88
  6. Step 6: Final answer
    x = 46,745.72

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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.