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Finding the Fourth Proportional to 50,008.48, 74,984.64 and 16,711

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Solution

The fourth proportional to 50,008.48, 74,984.64 and 16,711 is: 25,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,008.48 : 74,984.64 = 16,711 : x
  2. Step 2: Convert to fraction form
    50,008.48/74,984.64 = 16,711/x
  3. Step 3: Cross multiply
    50,008.48x = 74,984.64 × 16,711
  4. Step 4: Simplify right side
    50,008.48x = 1,253,068,319.04
  5. Step 5: Solve for x
    x = 1,253,068,319.04/50,008.48
  6. Step 6: Final answer
    x = 25,057.12

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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.