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Finding the Fourth Proportional to 98,841.60, 148,276.80 and 32,284.80

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Solution

The fourth proportional to 98,841.60, 148,276.80 and 32,284.80 is: 48,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,841.60 : 148,276.80 = 32,284.80 : x
  2. Step 2: Convert to fraction form
    98,841.60/148,276.80 = 32,284.80/x
  3. Step 3: Cross multiply
    98,841.60x = 148,276.80 × 32,284.80
  4. Step 4: Simplify right side
    98,841.60x = 4,787,086,832.64
  5. Step 5: Solve for x
    x = 4,787,086,832.64/98,841.60
  6. Step 6: Final answer
    x = 48,431.90

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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.