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Finding the Fourth Proportional to 123,033.96, 184,576.69 and 51,956.77

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Solution

The fourth proportional to 123,033.96, 184,576.69 and 51,956.77 is: 77,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,033.96 : 184,576.69 = 51,956.77 : x
  2. Step 2: Convert to fraction form
    123,033.96/184,576.69 = 51,956.77/x
  3. Step 3: Cross multiply
    123,033.96x = 184,576.69 × 51,956.77
  4. Step 4: Simplify right side
    123,033.96x = 9,590,007,840.96
  5. Step 5: Solve for x
    x = 9,590,007,840.96/123,033.96
  6. Step 6: Final answer
    x = 77,946.02

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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.