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Finding the Fourth Proportional to 32,102.43, 48,146.09 and 18,068.43

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Solution

The fourth proportional to 32,102.43, 48,146.09 and 18,068.43 is: 27,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.43 : 48,146.09 = 18,068.43 : x
  2. Step 2: Convert to fraction form
    32,102.43/48,146.09 = 18,068.43/x
  3. Step 3: Cross multiply
    32,102.43x = 48,146.09 × 18,068.43
  4. Step 4: Simplify right side
    32,102.43x = 869,924,166.60
  5. Step 5: Solve for x
    x = 869,924,166.60/32,102.43
  6. Step 6: Final answer
    x = 27,098.39

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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.