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Finding the Fourth Proportional to 37,857.54, 52,241.54 and 21,947.16

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Solution

The fourth proportional to 37,857.54, 52,241.54 and 21,947.16 is: 30,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857.54 : 52,241.54 = 21,947.16 : x
  2. Step 2: Convert to fraction form
    37,857.54/52,241.54 = 21,947.16/x
  3. Step 3: Cross multiply
    37,857.54x = 52,241.54 × 21,947.16
  4. Step 4: Simplify right side
    37,857.54x = 1,146,553,327.29
  5. Step 5: Solve for x
    x = 1,146,553,327.29/37,857.54
  6. Step 6: Final answer
    x = 30,286.00

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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.