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Finding the Fourth Proportional to 76,770.46, 105,942.16 and 42,780.39

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Solution

The fourth proportional to 76,770.46, 105,942.16 and 42,780.39 is: 59,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,770.46 : 105,942.16 = 42,780.39 : x
  2. Step 2: Convert to fraction form
    76,770.46/105,942.16 = 42,780.39/x
  3. Step 3: Cross multiply
    76,770.46x = 105,942.16 × 42,780.39
  4. Step 4: Simplify right side
    76,770.46x = 4,532,246,922.24
  5. Step 5: Solve for x
    x = 4,532,246,922.24/76,770.46
  6. Step 6: Final answer
    x = 59,036.34

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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.