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Finding the Fourth Proportional to 75,677.58, 104,435.80 and 41,686.22

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Solution

The fourth proportional to 75,677.58, 104,435.80 and 41,686.22 is: 57,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,677.58 : 104,435.80 = 41,686.22 : x
  2. Step 2: Convert to fraction form
    75,677.58/104,435.80 = 41,686.22/x
  3. Step 3: Cross multiply
    75,677.58x = 104,435.80 × 41,686.22
  4. Step 4: Simplify right side
    75,677.58x = 4,353,533,891.55
  5. Step 5: Solve for x
    x = 4,353,533,891.55/75,677.58
  6. Step 6: Final answer
    x = 57,527.39

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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.