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Finding the Fourth Proportional to 32,593.36, 44,978.82 and 17,689.36

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Solution

The fourth proportional to 32,593.36, 44,978.82 and 17,689.36 is: 24,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,593.36 : 44,978.82 = 17,689.36 : x
  2. Step 2: Convert to fraction form
    32,593.36/44,978.82 = 17,689.36/x
  3. Step 3: Cross multiply
    32,593.36x = 44,978.82 × 17,689.36
  4. Step 4: Simplify right side
    32,593.36x = 795,646,539.36
  5. Step 5: Solve for x
    x = 795,646,539.36/32,593.36
  6. Step 6: Final answer
    x = 24,411.31

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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.