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Finding the Fourth Proportional to 32,589.38, 44,973.34 and 17,685.38

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Solution

The fourth proportional to 32,589.38, 44,973.34 and 17,685.38 is: 24,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,589.38 : 44,973.34 = 17,685.38 : x
  2. Step 2: Convert to fraction form
    32,589.38/44,973.34 = 17,685.38/x
  3. Step 3: Cross multiply
    32,589.38x = 44,973.34 × 17,685.38
  4. Step 4: Simplify right side
    32,589.38x = 795,370,607.77
  5. Step 5: Solve for x
    x = 795,370,607.77/32,589.38
  6. Step 6: Final answer
    x = 24,405.82

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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.