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Finding the Fourth Proportional to 37,659.72, 51,970.14 and 20,892.72

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Solution

The fourth proportional to 37,659.72, 51,970.14 and 20,892.72 is: 28,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,659.72 : 51,970.14 = 20,892.72 : x
  2. Step 2: Convert to fraction form
    37,659.72/51,970.14 = 20,892.72/x
  3. Step 3: Cross multiply
    37,659.72x = 51,970.14 × 20,892.72
  4. Step 4: Simplify right side
    37,659.72x = 1,085,797,583.38
  5. Step 5: Solve for x
    x = 1,085,797,583.38/37,659.72
  6. Step 6: Final answer
    x = 28,831.80

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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.