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Finding the Fourth Proportional to 27,797.96, 38,335.46 and 24,599.40

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Solution

The fourth proportional to 27,797.96, 38,335.46 and 24,599.40 is: 33,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.96 : 38,335.46 = 24,599.40 : x
  2. Step 2: Convert to fraction form
    27,797.96/38,335.46 = 24,599.40/x
  3. Step 3: Cross multiply
    27,797.96x = 38,335.46 × 24,599.40
  4. Step 4: Simplify right side
    27,797.96x = 943,029,314.72
  5. Step 5: Solve for x
    x = 943,029,314.72/27,797.96
  6. Step 6: Final answer
    x = 33,924.41

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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.