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Finding the Fourth Proportional to 27,344.64, 37,734.64 and 15,410.48

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Solution

The fourth proportional to 27,344.64, 37,734.64 and 15,410.48 is: 21,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,344.64 : 37,734.64 = 15,410.48 : x
  2. Step 2: Convert to fraction form
    27,344.64/37,734.64 = 15,410.48/x
  3. Step 3: Cross multiply
    27,344.64x = 37,734.64 × 15,410.48
  4. Step 4: Simplify right side
    27,344.64x = 581,508,915.03
  5. Step 5: Solve for x
    x = 581,508,915.03/27,344.64
  6. Step 6: Final answer
    x = 21,265.92

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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.