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Finding the Fourth Proportional to 37,649.47, 51,956.67 and 20,653.74

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Solution

The fourth proportional to 37,649.47, 51,956.67 and 20,653.74 is: 28,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,649.47 : 51,956.67 = 20,653.74 : x
  2. Step 2: Convert to fraction form
    37,649.47/51,956.67 = 20,653.74/x
  3. Step 3: Cross multiply
    37,649.47x = 51,956.67 × 20,653.74
  4. Step 4: Simplify right side
    37,649.47x = 1,073,099,450.18
  5. Step 5: Solve for x
    x = 1,073,099,450.18/37,649.47
  6. Step 6: Final answer
    x = 28,502.38

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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.