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Finding the Fourth Proportional to 37,051.38, 51,130.90 and 20,284.38

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Solution

The fourth proportional to 37,051.38, 51,130.90 and 20,284.38 is: 27,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,051.38 : 51,130.90 = 20,284.38 : x
  2. Step 2: Convert to fraction form
    37,051.38/51,130.90 = 20,284.38/x
  3. Step 3: Cross multiply
    37,051.38x = 51,130.90 × 20,284.38
  4. Step 4: Simplify right side
    37,051.38x = 1,037,158,349.69
  5. Step 5: Solve for x
    x = 1,037,158,349.69/37,051.38
  6. Step 6: Final answer
    x = 27,992.44

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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.