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Finding the Fourth Proportional to 37,171.16, 51,294.66 and 20,404.52

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Solution

The fourth proportional to 37,171.16, 51,294.66 and 20,404.52 is: 28,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,171.16 : 51,294.66 = 20,404.52 : x
  2. Step 2: Convert to fraction form
    37,171.16/51,294.66 = 20,404.52/x
  3. Step 3: Cross multiply
    37,171.16x = 51,294.66 × 20,404.52
  4. Step 4: Simplify right side
    37,171.16x = 1,046,642,915.86
  5. Step 5: Solve for x
    x = 1,046,642,915.86/37,171.16
  6. Step 6: Final answer
    x = 28,157.39

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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.