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Finding the Fourth Proportional to 32,438.37, 44,754.82 and 18,288.48

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Solution

The fourth proportional to 32,438.37, 44,754.82 and 18,288.48 is: 25,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438.37 : 44,754.82 = 18,288.48 : x
  2. Step 2: Convert to fraction form
    32,438.37/44,754.82 = 18,288.48/x
  3. Step 3: Cross multiply
    32,438.37x = 44,754.82 × 18,288.48
  4. Step 4: Simplify right side
    32,438.37x = 818,497,630.47
  5. Step 5: Solve for x
    x = 818,497,630.47/32,438.37
  6. Step 6: Final answer
    x = 25,232.39

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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.