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Finding the Fourth Proportional to 38,947.64, 53,747.69 and 21,956.00

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Solution

The fourth proportional to 38,947.64, 53,747.69 and 21,956.00 is: 30,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,947.64 : 53,747.69 = 21,956.00 : x
  2. Step 2: Convert to fraction form
    38,947.64/53,747.69 = 21,956.00/x
  3. Step 3: Cross multiply
    38,947.64x = 53,747.69 × 21,956.00
  4. Step 4: Simplify right side
    38,947.64x = 1,180,083,903.12
  5. Step 5: Solve for x
    x = 1,180,083,903.12/38,947.64
  6. Step 6: Final answer
    x = 30,299.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.