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Finding the Fourth Proportional to 75,829.44, 104,644.84 and 42,297.60

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Solution

The fourth proportional to 75,829.44, 104,644.84 and 42,297.60 is: 58,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,829.44 : 104,644.84 = 42,297.60 : x
  2. Step 2: Convert to fraction form
    75,829.44/104,644.84 = 42,297.60/x
  3. Step 3: Cross multiply
    75,829.44x = 104,644.84 × 42,297.60
  4. Step 4: Simplify right side
    75,829.44x = 4,426,225,584.38
  5. Step 5: Solve for x
    x = 4,426,225,584.38/75,829.44
  6. Step 6: Final answer
    x = 58,370.81

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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.