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Finding the Fourth Proportional to 41,204.60, 61,806.90 and 24,583.40

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Solution

The fourth proportional to 41,204.60, 61,806.90 and 24,583.40 is: 36,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,204.60 : 61,806.90 = 24,583.40 : x
  2. Step 2: Convert to fraction form
    41,204.60/61,806.90 = 24,583.40/x
  3. Step 3: Cross multiply
    41,204.60x = 61,806.90 × 24,583.40
  4. Step 4: Simplify right side
    41,204.60x = 1,519,423,745.46
  5. Step 5: Solve for x
    x = 1,519,423,745.46/41,204.60
  6. Step 6: Final answer
    x = 36,875.10

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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.