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Finding the Fourth Proportional to 68,498.84, 102,806.58 and 26,975

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Solution

The fourth proportional to 68,498.84, 102,806.58 and 26,975 is: 40,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,498.84 : 102,806.58 = 26,975 : x
  2. Step 2: Convert to fraction form
    68,498.84/102,806.58 = 26,975/x
  3. Step 3: Cross multiply
    68,498.84x = 102,806.58 × 26,975
  4. Step 4: Simplify right side
    68,498.84x = 2,773,207,495.50
  5. Step 5: Solve for x
    x = 2,773,207,495.50/68,498.84
  6. Step 6: Final answer
    x = 40,485.47

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Why These Related Problems?

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