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Finding the Fourth Proportional to 52,203.20, 78,175.20 and 41,835.20

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Solution

The fourth proportional to 52,203.20, 78,175.20 and 41,835.20 is: 62,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,203.20 : 78,175.20 = 41,835.20 : x
  2. Step 2: Convert to fraction form
    52,203.20/78,175.20 = 41,835.20/x
  3. Step 3: Cross multiply
    52,203.20x = 78,175.20 × 41,835.20
  4. Step 4: Simplify right side
    52,203.20x = 3,270,475,127.04
  5. Step 5: Solve for x
    x = 3,270,475,127.04/52,203.20
  6. Step 6: Final answer
    x = 62,648.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.