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Finding the Fourth Proportional to 105,647.49, 158,478.53 and 39,086.15

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Solution

The fourth proportional to 105,647.49, 158,478.53 and 39,086.15 is: 58,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,647.49 : 158,478.53 = 39,086.15 : x
  2. Step 2: Convert to fraction form
    105,647.49/158,478.53 = 39,086.15/x
  3. Step 3: Cross multiply
    105,647.49x = 158,478.53 × 39,086.15
  4. Step 4: Simplify right side
    105,647.49x = 6,194,314,607.54
  5. Step 5: Solve for x
    x = 6,194,314,607.54/105,647.49
  6. Step 6: Final answer
    x = 58,631.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.