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Finding the Fourth Proportional to 38,864.28, 53,626.02 and 21,866.16

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Solution

The fourth proportional to 38,864.28, 53,626.02 and 21,866.16 is: 30,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,864.28 : 53,626.02 = 21,866.16 : x
  2. Step 2: Convert to fraction form
    38,864.28/53,626.02 = 21,866.16/x
  3. Step 3: Cross multiply
    38,864.28x = 53,626.02 × 21,866.16
  4. Step 4: Simplify right side
    38,864.28x = 1,172,595,133.48
  5. Step 5: Solve for x
    x = 1,172,595,133.48/38,864.28
  6. Step 6: Final answer
    x = 30,171.54

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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.