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Finding the Fourth Proportional to 38,016, 52,461.12 and 21,249.12

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Solution

The fourth proportional to 38,016, 52,461.12 and 21,249.12 is: 29,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 52,461.12 = 21,249.12 : x
  2. Step 2: Convert to fraction form
    38,016/52,461.12 = 21,249.12/x
  3. Step 3: Cross multiply
    38,016x = 52,461.12 × 21,249.12
  4. Step 4: Simplify right side
    38,016x = 1,114,752,634.21
  5. Step 5: Solve for x
    x = 1,114,752,634.21/38,016
  6. Step 6: Final answer
    x = 29,323.25

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Double scale
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1.5x scale

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.