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Finding the Fourth Proportional to 41,205.60, 61,808.40 and 24,584.40

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Solution

The fourth proportional to 41,205.60, 61,808.40 and 24,584.40 is: 36,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,205.60 : 61,808.40 = 24,584.40 : x
  2. Step 2: Convert to fraction form
    41,205.60/61,808.40 = 24,584.40/x
  3. Step 3: Cross multiply
    41,205.60x = 61,808.40 × 24,584.40
  4. Step 4: Simplify right side
    41,205.60x = 1,519,522,428.96
  5. Step 5: Solve for x
    x = 1,519,522,428.96/41,205.60
  6. Step 6: Final answer
    x = 36,876.60

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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.