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Finding the Fourth Proportional to 37,951, 52,372.44 and 21,184

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Solution

The fourth proportional to 37,951, 52,372.44 and 21,184 is: 29,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,951 : 52,372.44 = 21,184 : x
  2. Step 2: Convert to fraction form
    37,951/52,372.44 = 21,184/x
  3. Step 3: Cross multiply
    37,951x = 52,372.44 × 21,184
  4. Step 4: Simplify right side
    37,951x = 1,109,457,768.96
  5. Step 5: Solve for x
    x = 1,109,457,768.96/37,951
  6. Step 6: Final answer
    x = 29,233.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.