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Finding the Fourth Proportional to 76,233.54, 105,200.72 and 42,241.73

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Solution

The fourth proportional to 76,233.54, 105,200.72 and 42,241.73 is: 58,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,233.54 : 105,200.72 = 42,241.73 : x
  2. Step 2: Convert to fraction form
    76,233.54/105,200.72 = 42,241.73/x
  3. Step 3: Cross multiply
    76,233.54x = 105,200.72 × 42,241.73
  4. Step 4: Simplify right side
    76,233.54x = 4,443,860,620.25
  5. Step 5: Solve for x
    x = 4,443,860,620.25/76,233.54
  6. Step 6: Final answer
    x = 58,292.72

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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.