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Finding the Fourth Proportional to 38,291.40, 57,164.40 and 32,384.88

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Solution

The fourth proportional to 38,291.40, 57,164.40 and 32,384.88 is: 48,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,291.40 : 57,164.40 = 32,384.88 : x
  2. Step 2: Convert to fraction form
    38,291.40/57,164.40 = 32,384.88/x
  3. Step 3: Cross multiply
    38,291.40x = 57,164.40 × 32,384.88
  4. Step 4: Simplify right side
    38,291.40x = 1,851,262,234.27
  5. Step 5: Solve for x
    x = 1,851,262,234.27/38,291.40
  6. Step 6: Final answer
    x = 48,346.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.