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Finding the Fourth Proportional to 37,514.05, 51,767.47 and 20,514.99

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Solution

The fourth proportional to 37,514.05, 51,767.47 and 20,514.99 is: 28,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,514.05 : 51,767.47 = 20,514.99 : x
  2. Step 2: Convert to fraction form
    37,514.05/51,767.47 = 20,514.99/x
  3. Step 3: Cross multiply
    37,514.05x = 51,767.47 × 20,514.99
  4. Step 4: Simplify right side
    37,514.05x = 1,062,009,129.38
  5. Step 5: Solve for x
    x = 1,062,009,129.38/37,514.05
  6. Step 6: Final answer
    x = 28,309.64

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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.