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Finding the Fourth Proportional to 32,540.58, 48,811.13 and 21,305.39

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Solution

The fourth proportional to 32,540.58, 48,811.13 and 21,305.39 is: 31,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,540.58 : 48,811.13 = 21,305.39 : x
  2. Step 2: Convert to fraction form
    32,540.58/48,811.13 = 21,305.39/x
  3. Step 3: Cross multiply
    32,540.58x = 48,811.13 × 21,305.39
  4. Step 4: Simplify right side
    32,540.58x = 1,039,939,810.41
  5. Step 5: Solve for x
    x = 1,039,939,810.41/32,540.58
  6. Step 6: Final answer
    x = 31,958.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.