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Finding the Fourth Proportional to 66,921.60, 100,267.20 and 31,785.60

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Solution

The fourth proportional to 66,921.60, 100,267.20 and 31,785.60 is: 47,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,921.60 : 100,267.20 = 31,785.60 : x
  2. Step 2: Convert to fraction form
    66,921.60/100,267.20 = 31,785.60/x
  3. Step 3: Cross multiply
    66,921.60x = 100,267.20 × 31,785.60
  4. Step 4: Simplify right side
    66,921.60x = 3,187,053,112.32
  5. Step 5: Solve for x
    x = 3,187,053,112.32/66,921.60
  6. Step 6: Final answer
    x = 47,623.68

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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.