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Finding the Fourth Proportional to 27,094.28, 40,619.54 and 24,907.28

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Solution

The fourth proportional to 27,094.28, 40,619.54 and 24,907.28 is: 37,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,094.28 : 40,619.54 = 24,907.28 : x
  2. Step 2: Convert to fraction form
    27,094.28/40,619.54 = 24,907.28/x
  3. Step 3: Cross multiply
    27,094.28x = 40,619.54 × 24,907.28
  4. Step 4: Simplify right side
    27,094.28x = 1,011,722,115.42
  5. Step 5: Solve for x
    x = 1,011,722,115.42/27,094.28
  6. Step 6: Final answer
    x = 37,340.81

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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.