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Finding the Fourth Proportional to 37,513.48, 51,766.67 and 20,514.42

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Solution

The fourth proportional to 37,513.48, 51,766.67 and 20,514.42 is: 28,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,513.48 : 51,766.67 = 20,514.42 : x
  2. Step 2: Convert to fraction form
    37,513.48/51,766.67 = 20,514.42/x
  3. Step 3: Cross multiply
    37,513.48x = 51,766.67 × 20,514.42
  4. Step 4: Simplify right side
    37,513.48x = 1,061,963,210.38
  5. Step 5: Solve for x
    x = 1,061,963,210.38/37,513.48
  6. Step 6: Final answer
    x = 28,308.84

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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.