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Finding the Fourth Proportional to 32,684.58, 45,108.50 and 18,540

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Solution

The fourth proportional to 32,684.58, 45,108.50 and 18,540 is: 25,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.58 : 45,108.50 = 18,540 : x
  2. Step 2: Convert to fraction form
    32,684.58/45,108.50 = 18,540/x
  3. Step 3: Cross multiply
    32,684.58x = 45,108.50 × 18,540
  4. Step 4: Simplify right side
    32,684.58x = 836,311,497.30
  5. Step 5: Solve for x
    x = 836,311,497.30/32,684.58
  6. Step 6: Final answer
    x = 25,587.34

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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.