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Finding the Fourth Proportional to 27,114.30, 40,659.30 and 10,468.80

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Solution

The fourth proportional to 27,114.30, 40,659.30 and 10,468.80 is: 15,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.30 : 40,659.30 = 10,468.80 : x
  2. Step 2: Convert to fraction form
    27,114.30/40,659.30 = 10,468.80/x
  3. Step 3: Cross multiply
    27,114.30x = 40,659.30 × 10,468.80
  4. Step 4: Simplify right side
    27,114.30x = 425,654,079.84
  5. Step 5: Solve for x
    x = 425,654,079.84/27,114.30
  6. Step 6: Final answer
    x = 15,698.51

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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.