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Finding the Fourth Proportional to 67,714.94, 101,596.70 and 30,271.88

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Solution

The fourth proportional to 67,714.94, 101,596.70 and 30,271.88 is: 45,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,714.94 : 101,596.70 = 30,271.88 : x
  2. Step 2: Convert to fraction form
    67,714.94/101,596.70 = 30,271.88/x
  3. Step 3: Cross multiply
    67,714.94x = 101,596.70 × 30,271.88
  4. Step 4: Simplify right side
    67,714.94x = 3,075,523,110.80
  5. Step 5: Solve for x
    x = 3,075,523,110.80/67,714.94
  6. Step 6: Final answer
    x = 45,418.68

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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.