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Finding the Fourth Proportional to 49,757, 74,635.50 and 16,925

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Solution

The fourth proportional to 49,757, 74,635.50 and 16,925 is: 25,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,757 : 74,635.50 = 16,925 : x
  2. Step 2: Convert to fraction form
    49,757/74,635.50 = 16,925/x
  3. Step 3: Cross multiply
    49,757x = 74,635.50 × 16,925
  4. Step 4: Simplify right side
    49,757x = 1,263,205,837.50
  5. Step 5: Solve for x
    x = 1,263,205,837.50/49,757
  6. Step 6: Final answer
    x = 25,387.50

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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.