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Finding the Fourth Proportional to 76,775.22, 105,931.26 and 43,241.22

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Solution

The fourth proportional to 76,775.22, 105,931.26 and 43,241.22 is: 59,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,775.22 : 105,931.26 = 43,241.22 : x
  2. Step 2: Convert to fraction form
    76,775.22/105,931.26 = 43,241.22/x
  3. Step 3: Cross multiply
    76,775.22x = 105,931.26 × 43,241.22
  4. Step 4: Simplify right side
    76,775.22x = 4,580,596,918.54
  5. Step 5: Solve for x
    x = 4,580,596,918.54/76,775.22
  6. Step 6: Final answer
    x = 59,662.44

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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.