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Finding the Fourth Proportional to 68,461.10, 102,441.84 and 40,394.60

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Solution

The fourth proportional to 68,461.10, 102,441.84 and 40,394.60 is: 60,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,461.10 : 102,441.84 = 40,394.60 : x
  2. Step 2: Convert to fraction form
    68,461.10/102,441.84 = 40,394.60/x
  3. Step 3: Cross multiply
    68,461.10x = 102,441.84 × 40,394.60
  4. Step 4: Simplify right side
    68,461.10x = 4,138,097,150.06
  5. Step 5: Solve for x
    x = 4,138,097,150.06/68,461.10
  6. Step 6: Final answer
    x = 60,444.50

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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.