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Finding the Fourth Proportional to 38,728.94, 53,463.64 and 29,773.30

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Solution

The fourth proportional to 38,728.94, 53,463.64 and 29,773.30 is: 41,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.94 : 53,463.64 = 29,773.30 : x
  2. Step 2: Convert to fraction form
    38,728.94/53,463.64 = 29,773.30/x
  3. Step 3: Cross multiply
    38,728.94x = 53,463.64 × 29,773.30
  4. Step 4: Simplify right side
    38,728.94x = 1,591,788,992.81
  5. Step 5: Solve for x
    x = 1,591,788,992.81/38,728.94
  6. Step 6: Final answer
    x = 41,100.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.