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Finding the Fourth Proportional to 77,103.60, 115,698.60 and 32,722.80

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Solution

The fourth proportional to 77,103.60, 115,698.60 and 32,722.80 is: 49,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,103.60 : 115,698.60 = 32,722.80 : x
  2. Step 2: Convert to fraction form
    77,103.60/115,698.60 = 32,722.80/x
  3. Step 3: Cross multiply
    77,103.60x = 115,698.60 × 32,722.80
  4. Step 4: Simplify right side
    77,103.60x = 3,785,982,148.08
  5. Step 5: Solve for x
    x = 3,785,982,148.08/77,103.60
  6. Step 6: Final answer
    x = 49,102.53

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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.