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Finding the Fourth Proportional to 47,182.60, 65,108.98 and 27,039.24

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Solution

The fourth proportional to 47,182.60, 65,108.98 and 27,039.24 is: 37,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,182.60 : 65,108.98 = 27,039.24 : x
  2. Step 2: Convert to fraction form
    47,182.60/65,108.98 = 27,039.24/x
  3. Step 3: Cross multiply
    47,182.60x = 65,108.98 × 27,039.24
  4. Step 4: Simplify right side
    47,182.60x = 1,760,497,336.38
  5. Step 5: Solve for x
    x = 1,760,497,336.38/47,182.60
  6. Step 6: Final answer
    x = 37,312.43

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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.