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Finding the Fourth Proportional to 68,345.10, 102,517.65 and 31,409.10

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Solution

The fourth proportional to 68,345.10, 102,517.65 and 31,409.10 is: 47,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,345.10 : 102,517.65 = 31,409.10 : x
  2. Step 2: Convert to fraction form
    68,345.10/102,517.65 = 31,409.10/x
  3. Step 3: Cross multiply
    68,345.10x = 102,517.65 × 31,409.10
  4. Step 4: Simplify right side
    68,345.10x = 3,219,987,120.62
  5. Step 5: Solve for x
    x = 3,219,987,120.62/68,345.10
  6. Step 6: Final answer
    x = 47,113.65

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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.