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Finding the Fourth Proportional to 51,654, 77,408.28 and 41,077.11

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Solution

The fourth proportional to 51,654, 77,408.28 and 41,077.11 is: 61,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,654 : 77,408.28 = 41,077.11 : x
  2. Step 2: Convert to fraction form
    51,654/77,408.28 = 41,077.11/x
  3. Step 3: Cross multiply
    51,654x = 77,408.28 × 41,077.11
  4. Step 4: Simplify right side
    51,654x = 3,179,708,432.47
  5. Step 5: Solve for x
    x = 3,179,708,432.47/51,654
  6. Step 6: Final answer
    x = 61,557.84

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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.