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Finding the Fourth Proportional to 122,731.98, 184,100.28 and 38,490.30

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Solution

The fourth proportional to 122,731.98, 184,100.28 and 38,490.30 is: 57,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,731.98 : 184,100.28 = 38,490.30 : x
  2. Step 2: Convert to fraction form
    122,731.98/184,100.28 = 38,490.30/x
  3. Step 3: Cross multiply
    122,731.98x = 184,100.28 × 38,490.30
  4. Step 4: Simplify right side
    122,731.98x = 7,086,075,007.28
  5. Step 5: Solve for x
    x = 7,086,075,007.28/122,731.98
  6. Step 6: Final answer
    x = 57,736.17

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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.