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Finding the Fourth Proportional to 68,533.80, 102,735.90 and 40,475.40

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Solution

The fourth proportional to 68,533.80, 102,735.90 and 40,475.40 is: 60,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,533.80 : 102,735.90 = 40,475.40 : x
  2. Step 2: Convert to fraction form
    68,533.80/102,735.90 = 40,475.40/x
  3. Step 3: Cross multiply
    68,533.80x = 102,735.90 × 40,475.40
  4. Step 4: Simplify right side
    68,533.80x = 4,158,276,646.86
  5. Step 5: Solve for x
    x = 4,158,276,646.86/68,533.80
  6. Step 6: Final answer
    x = 60,674.83

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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.