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Finding the Fourth Proportional to 53,005.72, 73,149.24 and 29,133

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Solution

The fourth proportional to 53,005.72, 73,149.24 and 29,133 is: 40,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,005.72 : 73,149.24 = 29,133 : x
  2. Step 2: Convert to fraction form
    53,005.72/73,149.24 = 29,133/x
  3. Step 3: Cross multiply
    53,005.72x = 73,149.24 × 29,133
  4. Step 4: Simplify right side
    53,005.72x = 2,131,056,808.92
  5. Step 5: Solve for x
    x = 2,131,056,808.92/53,005.72
  6. Step 6: Final answer
    x = 40,204.28

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