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Finding the Fourth Proportional to 122,748.67, 184,123.01 and 38,521.83

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Solution

The fourth proportional to 122,748.67, 184,123.01 and 38,521.83 is: 57,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,748.67 : 184,123.01 = 38,521.83 : x
  2. Step 2: Convert to fraction form
    122,748.67/184,123.01 = 38,521.83/x
  3. Step 3: Cross multiply
    122,748.67x = 184,123.01 × 38,521.83
  4. Step 4: Simplify right side
    122,748.67x = 7,092,755,290.31
  5. Step 5: Solve for x
    x = 7,092,755,290.31/122,748.67
  6. Step 6: Final answer
    x = 57,782.75

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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.