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Finding the Fourth Proportional to 115,504, 173,325.12 and 49,840

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Solution

The fourth proportional to 115,504, 173,325.12 and 49,840 is: 74,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,504 : 173,325.12 = 49,840 : x
  2. Step 2: Convert to fraction form
    115,504/173,325.12 = 49,840/x
  3. Step 3: Cross multiply
    115,504x = 173,325.12 × 49,840
  4. Step 4: Simplify right side
    115,504x = 8,638,523,980.80
  5. Step 5: Solve for x
    x = 8,638,523,980.80/115,504
  6. Step 6: Final answer
    x = 74,789.83

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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.