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Finding the Fourth Proportional to 122,826.42, 184,130.07 and 47,929.14

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Solution

The fourth proportional to 122,826.42, 184,130.07 and 47,929.14 is: 71,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,826.42 : 184,130.07 = 47,929.14 : x
  2. Step 2: Convert to fraction form
    122,826.42/184,130.07 = 47,929.14/x
  3. Step 3: Cross multiply
    122,826.42x = 184,130.07 × 47,929.14
  4. Step 4: Simplify right side
    122,826.42x = 8,825,195,903.24
  5. Step 5: Solve for x
    x = 8,825,195,903.24/122,826.42
  6. Step 6: Final answer
    x = 71,850.96

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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.