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Finding the Fourth Proportional to 38,544.12, 57,824.94 and 16,358.28

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Solution

The fourth proportional to 38,544.12, 57,824.94 and 16,358.28 is: 24,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,544.12 : 57,824.94 = 16,358.28 : x
  2. Step 2: Convert to fraction form
    38,544.12/57,824.94 = 16,358.28/x
  3. Step 3: Cross multiply
    38,544.12x = 57,824.94 × 16,358.28
  4. Step 4: Simplify right side
    38,544.12x = 945,916,559.50
  5. Step 5: Solve for x
    x = 945,916,559.50/38,544.12
  6. Step 6: Final answer
    x = 24,541.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.