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Finding the Fourth Proportional to 48,601.83, 72,902.74 and 11,665.83

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Solution

The fourth proportional to 48,601.83, 72,902.74 and 11,665.83 is: 17,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,601.83 : 72,902.74 = 11,665.83 : x
  2. Step 2: Convert to fraction form
    48,601.83/72,902.74 = 11,665.83/x
  3. Step 3: Cross multiply
    48,601.83x = 72,902.74 × 11,665.83
  4. Step 4: Simplify right side
    48,601.83x = 850,470,871.14
  5. Step 5: Solve for x
    x = 850,470,871.14/48,601.83
  6. Step 6: Final answer
    x = 17,498.74

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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.