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Finding the Fourth Proportional to 32,461.09, 44,696.39 and 27,670.29

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Solution

The fourth proportional to 32,461.09, 44,696.39 and 27,670.29 is: 38,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.09 : 44,696.39 = 27,670.29 : x
  2. Step 2: Convert to fraction form
    32,461.09/44,696.39 = 27,670.29/x
  3. Step 3: Cross multiply
    32,461.09x = 44,696.39 × 27,670.29
  4. Step 4: Simplify right side
    32,461.09x = 1,236,762,073.25
  5. Step 5: Solve for x
    x = 1,236,762,073.25/32,461.09
  6. Step 6: Final answer
    x = 38,099.83

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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.