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Finding the Fourth Proportional to 67,873.60, 102,029.10 and 48,287.80

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Solution

The fourth proportional to 67,873.60, 102,029.10 and 48,287.80 is: 72,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,873.60 : 102,029.10 = 48,287.80 : x
  2. Step 2: Convert to fraction form
    67,873.60/102,029.10 = 48,287.80/x
  3. Step 3: Cross multiply
    67,873.60x = 102,029.10 × 48,287.80
  4. Step 4: Simplify right side
    67,873.60x = 4,926,760,774.98
  5. Step 5: Solve for x
    x = 4,926,760,774.98/67,873.60
  6. Step 6: Final answer
    x = 72,587.29

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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.