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Finding the Fourth Proportional to 76,450.70, 105,481.23 and 42,915.98

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Solution

The fourth proportional to 76,450.70, 105,481.23 and 42,915.98 is: 59,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,450.70 : 105,481.23 = 42,915.98 : x
  2. Step 2: Convert to fraction form
    76,450.70/105,481.23 = 42,915.98/x
  3. Step 3: Cross multiply
    76,450.70x = 105,481.23 × 42,915.98
  4. Step 4: Simplify right side
    76,450.70x = 4,526,830,357.06
  5. Step 5: Solve for x
    x = 4,526,830,357.06/76,450.70
  6. Step 6: Final answer
    x = 59,212.41

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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.