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Finding the Fourth Proportional to 51,937, 77,923.64 and 16,403.84

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Solution

The fourth proportional to 51,937, 77,923.64 and 16,403.84 is: 24,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,937 : 77,923.64 = 16,403.84 : x
  2. Step 2: Convert to fraction form
    51,937/77,923.64 = 16,403.84/x
  3. Step 3: Cross multiply
    51,937x = 77,923.64 × 16,403.84
  4. Step 4: Simplify right side
    51,937x = 1,278,246,922.78
  5. Step 5: Solve for x
    x = 1,278,246,922.78/51,937
  6. Step 6: Final answer
    x = 24,611.49

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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.