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Finding the Fourth Proportional to 123,076.41, 184,614.60 and 29,582.16

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Solution

The fourth proportional to 123,076.41, 184,614.60 and 29,582.16 is: 44,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,076.41 : 184,614.60 = 29,582.16 : x
  2. Step 2: Convert to fraction form
    123,076.41/184,614.60 = 29,582.16/x
  3. Step 3: Cross multiply
    123,076.41x = 184,614.60 × 29,582.16
  4. Step 4: Simplify right side
    123,076.41x = 5,461,298,635.54
  5. Step 5: Solve for x
    x = 5,461,298,635.54/123,076.41
  6. Step 6: Final answer
    x = 44,373.24

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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.