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Finding the Fourth Proportional to 37,578.27, 51,892.88 and 28,130.43

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Solution

The fourth proportional to 37,578.27, 51,892.88 and 28,130.43 is: 38,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,578.27 : 51,892.88 = 28,130.43 : x
  2. Step 2: Convert to fraction form
    37,578.27/51,892.88 = 28,130.43/x
  3. Step 3: Cross multiply
    37,578.27x = 51,892.88 × 28,130.43
  4. Step 4: Simplify right side
    37,578.27x = 1,459,768,887.69
  5. Step 5: Solve for x
    x = 1,459,768,887.69/37,578.27
  6. Step 6: Final answer
    x = 38,846.09

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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.