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Finding the Fourth Proportional to 67,083.80, 100,539.30 and 51,423.80

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Solution

The fourth proportional to 67,083.80, 100,539.30 and 51,423.80 is: 77,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,083.80 : 100,539.30 = 51,423.80 : x
  2. Step 2: Convert to fraction form
    67,083.80/100,539.30 = 51,423.80/x
  3. Step 3: Cross multiply
    67,083.80x = 100,539.30 × 51,423.80
  4. Step 4: Simplify right side
    67,083.80x = 5,170,112,855.34
  5. Step 5: Solve for x
    x = 5,170,112,855.34/67,083.80
  6. Step 6: Final answer
    x = 77,069.47

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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.