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Finding the Fourth Proportional to 75,220.59, 103,802.16 and 41,228.34

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Solution

The fourth proportional to 75,220.59, 103,802.16 and 41,228.34 is: 56,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,220.59 : 103,802.16 = 41,228.34 : x
  2. Step 2: Convert to fraction form
    75,220.59/103,802.16 = 41,228.34/x
  3. Step 3: Cross multiply
    75,220.59x = 103,802.16 × 41,228.34
  4. Step 4: Simplify right side
    75,220.59x = 4,279,590,745.21
  5. Step 5: Solve for x
    x = 4,279,590,745.21/75,220.59
  6. Step 6: Final answer
    x = 56,893.87

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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.