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Finding the Fourth Proportional to 41,594.32, 57,415.80 and 28,234.72

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Solution

The fourth proportional to 41,594.32, 57,415.80 and 28,234.72 is: 38,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,594.32 : 57,415.80 = 28,234.72 : x
  2. Step 2: Convert to fraction form
    41,594.32/57,415.80 = 28,234.72/x
  3. Step 3: Cross multiply
    41,594.32x = 57,415.80 × 28,234.72
  4. Step 4: Simplify right side
    41,594.32x = 1,621,119,036.58
  5. Step 5: Solve for x
    x = 1,621,119,036.58/41,594.32
  6. Step 6: Final answer
    x = 38,974.53

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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.