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Finding the Fourth Proportional to 122,905.71, 184,362.17 and 48,022.83

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Solution

The fourth proportional to 122,905.71, 184,362.17 and 48,022.83 is: 72,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,905.71 : 184,362.17 = 48,022.83 : x
  2. Step 2: Convert to fraction form
    122,905.71/184,362.17 = 48,022.83/x
  3. Step 3: Cross multiply
    122,905.71x = 184,362.17 × 48,022.83
  4. Step 4: Simplify right side
    122,905.71x = 8,853,592,908.23
  5. Step 5: Solve for x
    x = 8,853,592,908.23/122,905.71
  6. Step 6: Final answer
    x = 72,035.65

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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.