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Finding the Fourth Proportional to 37,452, 51,684.98 and 20,457.24

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Solution

The fourth proportional to 37,452, 51,684.98 and 20,457.24 is: 28,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,452 : 51,684.98 = 20,457.24 : x
  2. Step 2: Convert to fraction form
    37,452/51,684.98 = 20,457.24/x
  3. Step 3: Cross multiply
    37,452x = 51,684.98 × 20,457.24
  4. Step 4: Simplify right side
    37,452x = 1,057,331,937.97
  5. Step 5: Solve for x
    x = 1,057,331,937.97/37,452
  6. Step 6: Final answer
    x = 28,231.65

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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.