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Finding the Fourth Proportional to 123,065.42, 184,602.11 and 38,826.36

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Solution

The fourth proportional to 123,065.42, 184,602.11 and 38,826.36 is: 58,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,065.42 : 184,602.11 = 38,826.36 : x
  2. Step 2: Convert to fraction form
    123,065.42/184,602.11 = 38,826.36/x
  3. Step 3: Cross multiply
    123,065.42x = 184,602.11 × 38,826.36
  4. Step 4: Simplify right side
    123,065.42x = 7,167,427,785.49
  5. Step 5: Solve for x
    x = 7,167,427,785.49/123,065.42
  6. Step 6: Final answer
    x = 58,240.80

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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.