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Finding the Fourth Proportional to 38,016, 57,047.04 and 16,128

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Solution

The fourth proportional to 38,016, 57,047.04 and 16,128 is: 24,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 57,047.04 = 16,128 : x
  2. Step 2: Convert to fraction form
    38,016/57,047.04 = 16,128/x
  3. Step 3: Cross multiply
    38,016x = 57,047.04 × 16,128
  4. Step 4: Simplify right side
    38,016x = 920,054,661.12
  5. Step 5: Solve for x
    x = 920,054,661.12/38,016
  6. Step 6: Final answer
    x = 24,201.77

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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.