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Finding the Fourth Proportional to 49,797, 68,719.86 and 29,925

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Solution

The fourth proportional to 49,797, 68,719.86 and 29,925 is: 41,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,797 : 68,719.86 = 29,925 : x
  2. Step 2: Convert to fraction form
    49,797/68,719.86 = 29,925/x
  3. Step 3: Cross multiply
    49,797x = 68,719.86 × 29,925
  4. Step 4: Simplify right side
    49,797x = 2,056,441,810.50
  5. Step 5: Solve for x
    x = 2,056,441,810.50/49,797
  6. Step 6: Final answer
    x = 41,296.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.