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Finding the Fourth Proportional to 76,700.80, 115,004.22 and 29,899

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Solution

The fourth proportional to 76,700.80, 115,004.22 and 29,899 is: 44,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,700.80 : 115,004.22 = 29,899 : x
  2. Step 2: Convert to fraction form
    76,700.80/115,004.22 = 29,899/x
  3. Step 3: Cross multiply
    76,700.80x = 115,004.22 × 29,899
  4. Step 4: Simplify right side
    76,700.80x = 3,438,511,173.78
  5. Step 5: Solve for x
    x = 3,438,511,173.78/76,700.80
  6. Step 6: Final answer
    x = 44,830.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.