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Finding the Fourth Proportional to 49,343, 68,094.96 and 26,987

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Solution

The fourth proportional to 49,343, 68,094.96 and 26,987 is: 37,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,343 : 68,094.96 = 26,987 : x
  2. Step 2: Convert to fraction form
    49,343/68,094.96 = 26,987/x
  3. Step 3: Cross multiply
    49,343x = 68,094.96 × 26,987
  4. Step 4: Simplify right side
    49,343x = 1,837,678,685.52
  5. Step 5: Solve for x
    x = 1,837,678,685.52/49,343
  6. Step 6: Final answer
    x = 37,242.95

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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.