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Finding the Fourth Proportional to 29,820.86, 41,128.80 and 26,228.24

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Solution

The fourth proportional to 29,820.86, 41,128.80 and 26,228.24 is: 36,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820.86 : 41,128.80 = 26,228.24 : x
  2. Step 2: Convert to fraction form
    29,820.86/41,128.80 = 26,228.24/x
  3. Step 3: Cross multiply
    29,820.86x = 41,128.80 × 26,228.24
  4. Step 4: Simplify right side
    29,820.86x = 1,078,736,037.31
  5. Step 5: Solve for x
    x = 1,078,736,037.31/29,820.86
  6. Step 6: Final answer
    x = 36,173.87

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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.