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Finding the Fourth Proportional to 123,021.74, 184,458.69 and 48,053.81

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Solution

The fourth proportional to 123,021.74, 184,458.69 and 48,053.81 is: 72,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,021.74 : 184,458.69 = 48,053.81 : x
  2. Step 2: Convert to fraction form
    123,021.74/184,458.69 = 48,053.81/x
  3. Step 3: Cross multiply
    123,021.74x = 184,458.69 × 48,053.81
  4. Step 4: Simplify right side
    123,021.74x = 8,863,941,919.82
  5. Step 5: Solve for x
    x = 8,863,941,919.82/123,021.74
  6. Step 6: Final answer
    x = 72,051.84

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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.