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Finding the Fourth Proportional to 27,335.35, 40,993.82 and 10,464.40

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Solution

The fourth proportional to 27,335.35, 40,993.82 and 10,464.40 is: 15,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,335.35 : 40,993.82 = 10,464.40 : x
  2. Step 2: Convert to fraction form
    27,335.35/40,993.82 = 10,464.40/x
  3. Step 3: Cross multiply
    27,335.35x = 40,993.82 × 10,464.40
  4. Step 4: Simplify right side
    27,335.35x = 428,975,472.72
  5. Step 5: Solve for x
    x = 428,975,472.72/27,335.35
  6. Step 6: Final answer
    x = 15,693.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.