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Finding the Fourth Proportional to 32,328, 44,613.27 and 19,581.66

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Solution

The fourth proportional to 32,328, 44,613.27 and 19,581.66 is: 27,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,328 : 44,613.27 = 19,581.66 : x
  2. Step 2: Convert to fraction form
    32,328/44,613.27 = 19,581.66/x
  3. Step 3: Cross multiply
    32,328x = 44,613.27 × 19,581.66
  4. Step 4: Simplify right side
    32,328x = 873,601,884.63
  5. Step 5: Solve for x
    x = 873,601,884.63/32,328
  6. Step 6: Final answer
    x = 27,023.07

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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.