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Finding the Fourth Proportional to 92,737.60, 127,977.84 and 50,296

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Solution

The fourth proportional to 92,737.60, 127,977.84 and 50,296 is: 69,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,737.60 : 127,977.84 = 50,296 : x
  2. Step 2: Convert to fraction form
    92,737.60/127,977.84 = 50,296/x
  3. Step 3: Cross multiply
    92,737.60x = 127,977.84 × 50,296
  4. Step 4: Simplify right side
    92,737.60x = 6,436,773,440.64
  5. Step 5: Solve for x
    x = 6,436,773,440.64/92,737.60
  6. Step 6: Final answer
    x = 69,408.45

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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.