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Finding the Fourth Proportional to 50,782.98, 70,080.12 and 28,121.88

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Solution

The fourth proportional to 50,782.98, 70,080.12 and 28,121.88 is: 38,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,782.98 : 70,080.12 = 28,121.88 : x
  2. Step 2: Convert to fraction form
    50,782.98/70,080.12 = 28,121.88/x
  3. Step 3: Cross multiply
    50,782.98x = 70,080.12 × 28,121.88
  4. Step 4: Simplify right side
    50,782.98x = 1,970,784,725.03
  5. Step 5: Solve for x
    x = 1,970,784,725.03/50,782.98
  6. Step 6: Final answer
    x = 38,807.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.