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Finding the Fourth Proportional to 122,708.52, 184,035.24 and 47,802.96

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Solution

The fourth proportional to 122,708.52, 184,035.24 and 47,802.96 is: 71,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,708.52 : 184,035.24 = 47,802.96 : x
  2. Step 2: Convert to fraction form
    122,708.52/184,035.24 = 47,802.96/x
  3. Step 3: Cross multiply
    122,708.52x = 184,035.24 × 47,802.96
  4. Step 4: Simplify right side
    122,708.52x = 8,797,429,216.31
  5. Step 5: Solve for x
    x = 8,797,429,216.31/122,708.52
  6. Step 6: Final answer
    x = 71,693.71

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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.