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Finding the Fourth Proportional to 51,980.40, 77,970.60 and 32,194.80

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Solution

The fourth proportional to 51,980.40, 77,970.60 and 32,194.80 is: 48,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.40 : 77,970.60 = 32,194.80 : x
  2. Step 2: Convert to fraction form
    51,980.40/77,970.60 = 32,194.80/x
  3. Step 3: Cross multiply
    51,980.40x = 77,970.60 × 32,194.80
  4. Step 4: Simplify right side
    51,980.40x = 2,510,247,872.88
  5. Step 5: Solve for x
    x = 2,510,247,872.88/51,980.40
  6. Step 6: Final answer
    x = 48,292.20

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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.