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Finding the Fourth Proportional to 51,951.60, 77,965.80 and 20,809.20

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Solution

The fourth proportional to 51,951.60, 77,965.80 and 20,809.20 is: 31,229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.60 : 77,965.80 = 20,809.20 : x
  2. Step 2: Convert to fraction form
    51,951.60/77,965.80 = 20,809.20/x
  3. Step 3: Cross multiply
    51,951.60x = 77,965.80 × 20,809.20
  4. Step 4: Simplify right side
    51,951.60x = 1,622,405,925.36
  5. Step 5: Solve for x
    x = 1,622,405,925.36/51,951.60
  6. Step 6: Final answer
    x = 31,229.18

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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.