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Finding the Fourth Proportional to 123,172.46, 184,742.74 and 38,941.10

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Solution

The fourth proportional to 123,172.46, 184,742.74 and 38,941.10 is: 58,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,172.46 : 184,742.74 = 38,941.10 : x
  2. Step 2: Convert to fraction form
    123,172.46/184,742.74 = 38,941.10/x
  3. Step 3: Cross multiply
    123,172.46x = 184,742.74 × 38,941.10
  4. Step 4: Simplify right side
    123,172.46x = 7,194,085,512.61
  5. Step 5: Solve for x
    x = 7,194,085,512.61/123,172.46
  6. Step 6: Final answer
    x = 58,406.61

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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.