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Finding the Fourth Proportional to 32,649.38, 45,056.14 and 17,745.38

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Solution

The fourth proportional to 32,649.38, 45,056.14 and 17,745.38 is: 24,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,649.38 : 45,056.14 = 17,745.38 : x
  2. Step 2: Convert to fraction form
    32,649.38/45,056.14 = 17,745.38/x
  3. Step 3: Cross multiply
    32,649.38x = 45,056.14 × 17,745.38
  4. Step 4: Simplify right side
    32,649.38x = 799,538,325.63
  5. Step 5: Solve for x
    x = 799,538,325.63/32,649.38
  6. Step 6: Final answer
    x = 24,488.62

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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.