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Finding the Fourth Proportional to 76,351.50, 105,374.80 and 42,817.50

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Solution

The fourth proportional to 76,351.50, 105,374.80 and 42,817.50 is: 59,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,351.50 : 105,374.80 = 42,817.50 : x
  2. Step 2: Convert to fraction form
    76,351.50/105,374.80 = 42,817.50/x
  3. Step 3: Cross multiply
    76,351.50x = 105,374.80 × 42,817.50
  4. Step 4: Simplify right side
    76,351.50x = 4,511,885,499
  5. Step 5: Solve for x
    x = 4,511,885,499/76,351.50
  6. Step 6: Final answer
    x = 59,093.61

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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.