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Finding the Fourth Proportional to 75,409.83, 104,066.82 and 41,421.46

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Solution

The fourth proportional to 75,409.83, 104,066.82 and 41,421.46 is: 57,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,409.83 : 104,066.82 = 41,421.46 : x
  2. Step 2: Convert to fraction form
    75,409.83/104,066.82 = 41,421.46/x
  3. Step 3: Cross multiply
    75,409.83x = 104,066.82 × 41,421.46
  4. Step 4: Simplify right side
    75,409.83x = 4,310,598,894.52
  5. Step 5: Solve for x
    x = 4,310,598,894.52/75,409.83
  6. Step 6: Final answer
    x = 57,162.30

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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.