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Finding the Fourth Proportional to 123,037.76, 184,456.58 and 51,914.48

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Solution

The fourth proportional to 123,037.76, 184,456.58 and 51,914.48 is: 77,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,037.76 : 184,456.58 = 51,914.48 : x
  2. Step 2: Convert to fraction form
    123,037.76/184,456.58 = 51,914.48/x
  3. Step 3: Cross multiply
    123,037.76x = 184,456.58 × 51,914.48
  4. Step 4: Simplify right side
    123,037.76x = 9,575,967,433.28
  5. Step 5: Solve for x
    x = 9,575,967,433.28/123,037.76
  6. Step 6: Final answer
    x = 77,829.50

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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.