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Finding the Fourth Proportional to 68,393.40, 102,590.10 and 40,284.60

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Solution

The fourth proportional to 68,393.40, 102,590.10 and 40,284.60 is: 60,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,393.40 : 102,590.10 = 40,284.60 : x
  2. Step 2: Convert to fraction form
    68,393.40/102,590.10 = 40,284.60/x
  3. Step 3: Cross multiply
    68,393.40x = 102,590.10 × 40,284.60
  4. Step 4: Simplify right side
    68,393.40x = 4,132,801,142.46
  5. Step 5: Solve for x
    x = 4,132,801,142.46/68,393.40
  6. Step 6: Final answer
    x = 60,426.90

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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.