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Finding the Fourth Proportional to 77,754.42, 107,274.35 and 47,137.38

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Solution

The fourth proportional to 77,754.42, 107,274.35 and 47,137.38 is: 65,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,754.42 : 107,274.35 = 47,137.38 : x
  2. Step 2: Convert to fraction form
    77,754.42/107,274.35 = 47,137.38/x
  3. Step 3: Cross multiply
    77,754.42x = 107,274.35 × 47,137.38
  4. Step 4: Simplify right side
    77,754.42x = 5,056,631,564.52
  5. Step 5: Solve for x
    x = 5,056,631,564.52/77,754.42
  6. Step 6: Final answer
    x = 65,033.36

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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.