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Finding the Fourth Proportional to 38,738.64, 53,459.31 and 21,971.64

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Solution

The fourth proportional to 38,738.64, 53,459.31 and 21,971.64 is: 30,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,738.64 : 53,459.31 = 21,971.64 : x
  2. Step 2: Convert to fraction form
    38,738.64/53,459.31 = 21,971.64/x
  3. Step 3: Cross multiply
    38,738.64x = 53,459.31 × 21,971.64
  4. Step 4: Simplify right side
    38,738.64x = 1,174,588,713.97
  5. Step 5: Solve for x
    x = 1,174,588,713.97/38,738.64
  6. Step 6: Final answer
    x = 30,320.86

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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.