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Finding the Fourth Proportional to 37,104, 55,656 and 15,216

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Solution

The fourth proportional to 37,104, 55,656 and 15,216 is: 22,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,104 : 55,656 = 15,216 : x
  2. Step 2: Convert to fraction form
    37,104/55,656 = 15,216/x
  3. Step 3: Cross multiply
    37,104x = 55,656 × 15,216
  4. Step 4: Simplify right side
    37,104x = 846,861,696
  5. Step 5: Solve for x
    x = 846,861,696/37,104
  6. Step 6: Final answer
    x = 22,824

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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.