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Finding the Fourth Proportional to 75,656.58, 104,405.10 and 41,664.42

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Solution

The fourth proportional to 75,656.58, 104,405.10 and 41,664.42 is: 57,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,656.58 : 104,405.10 = 41,664.42 : x
  2. Step 2: Convert to fraction form
    75,656.58/104,405.10 = 41,664.42/x
  3. Step 3: Cross multiply
    75,656.58x = 104,405.10 × 41,664.42
  4. Step 4: Simplify right side
    75,656.58x = 4,349,977,936.54
  5. Step 5: Solve for x
    x = 4,349,977,936.54/75,656.58
  6. Step 6: Final answer
    x = 57,496.36

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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.