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Finding the Fourth Proportional to 65,412, 98,120.41 and 23,295.17

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Solution

The fourth proportional to 65,412, 98,120.41 and 23,295.17 is: 34,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412 : 98,120.41 = 23,295.17 : x
  2. Step 2: Convert to fraction form
    65,412/98,120.41 = 23,295.17/x
  3. Step 3: Cross multiply
    65,412x = 98,120.41 × 23,295.17
  4. Step 4: Simplify right side
    65,412x = 2,285,731,818.48
  5. Step 5: Solve for x
    x = 2,285,731,818.48/65,412
  6. Step 6: Final answer
    x = 34,943.62

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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.