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Finding the Fourth Proportional to 38,667.12, 53,358.84 and 21,900.24

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Solution

The fourth proportional to 38,667.12, 53,358.84 and 21,900.24 is: 30,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,667.12 : 53,358.84 = 21,900.24 : x
  2. Step 2: Convert to fraction form
    38,667.12/53,358.84 = 21,900.24/x
  3. Step 3: Cross multiply
    38,667.12x = 53,358.84 × 21,900.24
  4. Step 4: Simplify right side
    38,667.12x = 1,168,571,402.12
  5. Step 5: Solve for x
    x = 1,168,571,402.12/38,667.12
  6. Step 6: Final answer
    x = 30,221.32

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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.