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Finding the Fourth Proportional to 122,682.93, 184,024.46 and 38,449.65

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Solution

The fourth proportional to 122,682.93, 184,024.46 and 38,449.65 is: 57,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,682.93 : 184,024.46 = 38,449.65 : x
  2. Step 2: Convert to fraction form
    122,682.93/184,024.46 = 38,449.65/x
  3. Step 3: Cross multiply
    122,682.93x = 184,024.46 × 38,449.65
  4. Step 4: Simplify right side
    122,682.93x = 7,075,676,484.70
  5. Step 5: Solve for x
    x = 7,075,676,484.70/122,682.93
  6. Step 6: Final answer
    x = 57,674.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.