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Finding the Fourth Proportional to 68,235.40, 102,353.10 and 36,742.60

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Solution

The fourth proportional to 68,235.40, 102,353.10 and 36,742.60 is: 55,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,235.40 : 102,353.10 = 36,742.60 : x
  2. Step 2: Convert to fraction form
    68,235.40/102,353.10 = 36,742.60/x
  3. Step 3: Cross multiply
    68,235.40x = 102,353.10 × 36,742.60
  4. Step 4: Simplify right side
    68,235.40x = 3,760,719,012.06
  5. Step 5: Solve for x
    x = 3,760,719,012.06/68,235.40
  6. Step 6: Final answer
    x = 55,113.90

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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.