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Finding the Fourth Proportional to 32,593, 44,978.88 and 17,689

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Solution

The fourth proportional to 32,593, 44,978.88 and 17,689 is: 24,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,593 : 44,978.88 = 17,689 : x
  2. Step 2: Convert to fraction form
    32,593/44,978.88 = 17,689/x
  3. Step 3: Cross multiply
    32,593x = 44,978.88 × 17,689
  4. Step 4: Simplify right side
    32,593x = 795,631,408.32
  5. Step 5: Solve for x
    x = 795,631,408.32/32,593
  6. Step 6: Final answer
    x = 24,411.11

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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.