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Finding the Fourth Proportional to 52,008.48, 71,766 and 29,652.48

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Solution

The fourth proportional to 52,008.48, 71,766 and 29,652.48 is: 40,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,008.48 : 71,766 = 29,652.48 : x
  2. Step 2: Convert to fraction form
    52,008.48/71,766 = 29,652.48/x
  3. Step 3: Cross multiply
    52,008.48x = 71,766 × 29,652.48
  4. Step 4: Simplify right side
    52,008.48x = 2,128,039,879.68
  5. Step 5: Solve for x
    x = 2,128,039,879.68/52,008.48
  6. Step 6: Final answer
    x = 40,917.17

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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.