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Finding the Fourth Proportional to 52,408.56, 72,322.38 and 29,749.71

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Solution

The fourth proportional to 52,408.56, 72,322.38 and 29,749.71 is: 41,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.56 : 72,322.38 = 29,749.71 : x
  2. Step 2: Convert to fraction form
    52,408.56/72,322.38 = 29,749.71/x
  3. Step 3: Cross multiply
    52,408.56x = 72,322.38 × 29,749.71
  4. Step 4: Simplify right side
    52,408.56x = 2,151,569,831.51
  5. Step 5: Solve for x
    x = 2,151,569,831.51/52,408.56
  6. Step 6: Final answer
    x = 41,053.79

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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.