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Finding the Fourth Proportional to 77,782.96, 116,698.65 and 27,863.48

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Solution

The fourth proportional to 77,782.96, 116,698.65 and 27,863.48 is: 41,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,782.96 : 116,698.65 = 27,863.48 : x
  2. Step 2: Convert to fraction form
    77,782.96/116,698.65 = 27,863.48/x
  3. Step 3: Cross multiply
    77,782.96x = 116,698.65 × 27,863.48
  4. Step 4: Simplify right side
    77,782.96x = 3,251,630,360.98
  5. Step 5: Solve for x
    x = 3,251,630,360.98/77,782.96
  6. Step 6: Final answer
    x = 41,803.89

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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.