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Finding the Fourth Proportional to 105,573.78, 158,370.98 and 30,694.50

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Solution

The fourth proportional to 105,573.78, 158,370.98 and 30,694.50 is: 46,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,573.78 : 158,370.98 = 30,694.50 : x
  2. Step 2: Convert to fraction form
    105,573.78/158,370.98 = 30,694.50/x
  3. Step 3: Cross multiply
    105,573.78x = 158,370.98 × 30,694.50
  4. Step 4: Simplify right side
    105,573.78x = 4,861,117,892.14
  5. Step 5: Solve for x
    x = 4,861,117,892.14/105,573.78
  6. Step 6: Final answer
    x = 46,044.75

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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.