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Finding the Fourth Proportional to 32,096.13, 44,291.82 and 17,756.49

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Solution

The fourth proportional to 32,096.13, 44,291.82 and 17,756.49 is: 24,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.13 : 44,291.82 = 17,756.49 : x
  2. Step 2: Convert to fraction form
    32,096.13/44,291.82 = 17,756.49/x
  3. Step 3: Cross multiply
    32,096.13x = 44,291.82 × 17,756.49
  4. Step 4: Simplify right side
    32,096.13x = 786,467,258.91
  5. Step 5: Solve for x
    x = 786,467,258.91/32,096.13
  6. Step 6: Final answer
    x = 24,503.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.