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Finding the Fourth Proportional to 76,051.88, 114,069.10 and 19,897.41

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Solution

The fourth proportional to 76,051.88, 114,069.10 and 19,897.41 is: 29,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,051.88 : 114,069.10 = 19,897.41 : x
  2. Step 2: Convert to fraction form
    76,051.88/114,069.10 = 19,897.41/x
  3. Step 3: Cross multiply
    76,051.88x = 114,069.10 × 19,897.41
  4. Step 4: Simplify right side
    76,051.88x = 2,269,679,651.03
  5. Step 5: Solve for x
    x = 2,269,679,651.03/76,051.88
  6. Step 6: Final answer
    x = 29,843.83

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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.