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Finding the Fourth Proportional to 114,727.72, 172,032.50 and 51,493.64

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Solution

The fourth proportional to 114,727.72, 172,032.50 and 51,493.64 is: 77,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,727.72 : 172,032.50 = 51,493.64 : x
  2. Step 2: Convert to fraction form
    114,727.72/172,032.50 = 51,493.64/x
  3. Step 3: Cross multiply
    114,727.72x = 172,032.50 × 51,493.64
  4. Step 4: Simplify right side
    114,727.72x = 8,858,578,771.73
  5. Step 5: Solve for x
    x = 8,858,578,771.73/114,727.72
  6. Step 6: Final answer
    x = 77,213.93

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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.