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Finding the Fourth Proportional to 76,502.96, 114,728.64 and 29,106.80

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Solution

The fourth proportional to 76,502.96, 114,728.64 and 29,106.80 is: 43,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,502.96 : 114,728.64 = 29,106.80 : x
  2. Step 2: Convert to fraction form
    76,502.96/114,728.64 = 29,106.80/x
  3. Step 3: Cross multiply
    76,502.96x = 114,728.64 × 29,106.80
  4. Step 4: Simplify right side
    76,502.96x = 3,339,383,578.75
  5. Step 5: Solve for x
    x = 3,339,383,578.75/76,502.96
  6. Step 6: Final answer
    x = 43,650.38

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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.