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Finding the Fourth Proportional to 32,165.12, 44,373.03 and 20,838.41

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Solution

The fourth proportional to 32,165.12, 44,373.03 and 20,838.41 is: 28,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.12 : 44,373.03 = 20,838.41 : x
  2. Step 2: Convert to fraction form
    32,165.12/44,373.03 = 20,838.41/x
  3. Step 3: Cross multiply
    32,165.12x = 44,373.03 × 20,838.41
  4. Step 4: Simplify right side
    32,165.12x = 924,663,392.08
  5. Step 5: Solve for x
    x = 924,663,392.08/32,165.12
  6. Step 6: Final answer
    x = 28,747.39

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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.