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Finding the Fourth Proportional to 51,104.80, 76,657.20 and 48,188.80

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Solution

The fourth proportional to 51,104.80, 76,657.20 and 48,188.80 is: 72,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,104.80 : 76,657.20 = 48,188.80 : x
  2. Step 2: Convert to fraction form
    51,104.80/76,657.20 = 48,188.80/x
  3. Step 3: Cross multiply
    51,104.80x = 76,657.20 × 48,188.80
  4. Step 4: Simplify right side
    51,104.80x = 3,694,018,479.36
  5. Step 5: Solve for x
    x = 3,694,018,479.36/51,104.80
  6. Step 6: Final answer
    x = 72,283.20

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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.