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Finding the Fourth Proportional to 123,046.42, 184,585.04 and 48,156.90

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Solution

The fourth proportional to 123,046.42, 184,585.04 and 48,156.90 is: 72,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,046.42 : 184,585.04 = 48,156.90 : x
  2. Step 2: Convert to fraction form
    123,046.42/184,585.04 = 48,156.90/x
  3. Step 3: Cross multiply
    123,046.42x = 184,585.04 × 48,156.90
  4. Step 4: Simplify right side
    123,046.42x = 8,889,043,312.78
  5. Step 5: Solve for x
    x = 8,889,043,312.78/123,046.42
  6. Step 6: Final answer
    x = 72,241.38

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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.