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Finding the Fourth Proportional to 49,480, 74,231.52 and 16,648

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Solution

The fourth proportional to 49,480, 74,231.52 and 16,648 is: 24,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,480 : 74,231.52 = 16,648 : x
  2. Step 2: Convert to fraction form
    49,480/74,231.52 = 16,648/x
  3. Step 3: Cross multiply
    49,480x = 74,231.52 × 16,648
  4. Step 4: Simplify right side
    49,480x = 1,235,806,344.96
  5. Step 5: Solve for x
    x = 1,235,806,344.96/49,480
  6. Step 6: Final answer
    x = 24,975.88

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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.