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Finding the Fourth Proportional to 32,203.92, 44,437.17 and 17,863.58

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Solution

The fourth proportional to 32,203.92, 44,437.17 and 17,863.58 is: 24,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.92 : 44,437.17 = 17,863.58 : x
  2. Step 2: Convert to fraction form
    32,203.92/44,437.17 = 17,863.58/x
  3. Step 3: Cross multiply
    32,203.92x = 44,437.17 × 17,863.58
  4. Step 4: Simplify right side
    32,203.92x = 793,806,719.08
  5. Step 5: Solve for x
    x = 793,806,719.08/32,203.92
  6. Step 6: Final answer
    x = 24,649.38

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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.