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Finding the Fourth Proportional to 53,931.20, 80,896.80 and 30,311.60

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Solution

The fourth proportional to 53,931.20, 80,896.80 and 30,311.60 is: 45,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,931.20 : 80,896.80 = 30,311.60 : x
  2. Step 2: Convert to fraction form
    53,931.20/80,896.80 = 30,311.60/x
  3. Step 3: Cross multiply
    53,931.20x = 80,896.80 × 30,311.60
  4. Step 4: Simplify right side
    53,931.20x = 2,452,111,442.88
  5. Step 5: Solve for x
    x = 2,452,111,442.88/53,931.20
  6. Step 6: Final answer
    x = 45,467.40

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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.