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Finding the Fourth Proportional to 32,401.68, 44,711.64 and 18,258

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Solution

The fourth proportional to 32,401.68, 44,711.64 and 18,258 is: 25,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401.68 : 44,711.64 = 18,258 : x
  2. Step 2: Convert to fraction form
    32,401.68/44,711.64 = 18,258/x
  3. Step 3: Cross multiply
    32,401.68x = 44,711.64 × 18,258
  4. Step 4: Simplify right side
    32,401.68x = 816,345,123.12
  5. Step 5: Solve for x
    x = 816,345,123.12/32,401.68
  6. Step 6: Final answer
    x = 25,194.53

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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.