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Finding the Fourth Proportional to 34,154.94, 47,115.90 and 27,788.64

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Solution

The fourth proportional to 34,154.94, 47,115.90 and 27,788.64 is: 38,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154.94 : 47,115.90 = 27,788.64 : x
  2. Step 2: Convert to fraction form
    34,154.94/47,115.90 = 27,788.64/x
  3. Step 3: Cross multiply
    34,154.94x = 47,115.90 × 27,788.64
  4. Step 4: Simplify right side
    34,154.94x = 1,309,286,783.38
  5. Step 5: Solve for x
    x = 1,309,286,783.38/34,154.94
  6. Step 6: Final answer
    x = 38,333.75

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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.