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Finding the Fourth Proportional to 37,586.32, 51,869.86 and 20,590.56

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Solution

The fourth proportional to 37,586.32, 51,869.86 and 20,590.56 is: 28,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586.32 : 51,869.86 = 20,590.56 : x
  2. Step 2: Convert to fraction form
    37,586.32/51,869.86 = 20,590.56/x
  3. Step 3: Cross multiply
    37,586.32x = 51,869.86 × 20,590.56
  4. Step 4: Simplify right side
    37,586.32x = 1,068,029,464.52
  5. Step 5: Solve for x
    x = 1,068,029,464.52/37,586.32
  6. Step 6: Final answer
    x = 28,415.38

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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.