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Finding the Fourth Proportional to 122,690.17, 184,035.16 and 39,584.17

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Solution

The fourth proportional to 122,690.17, 184,035.16 and 39,584.17 is: 59,376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,690.17 : 184,035.16 = 39,584.17 : x
  2. Step 2: Convert to fraction form
    122,690.17/184,035.16 = 39,584.17/x
  3. Step 3: Cross multiply
    122,690.17x = 184,035.16 × 39,584.17
  4. Step 4: Simplify right side
    122,690.17x = 7,284,879,059.42
  5. Step 5: Solve for x
    x = 7,284,879,059.42/122,690.17
  6. Step 6: Final answer
    x = 59,376.22

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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.