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Finding the Fourth Proportional to 123,954.29, 185,944.64 and 39,684.32

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Solution

The fourth proportional to 123,954.29, 185,944.64 and 39,684.32 is: 59,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,954.29 : 185,944.64 = 39,684.32 : x
  2. Step 2: Convert to fraction form
    123,954.29/185,944.64 = 39,684.32/x
  3. Step 3: Cross multiply
    123,954.29x = 185,944.64 × 39,684.32
  4. Step 4: Simplify right side
    123,954.29x = 7,379,085,467.90
  5. Step 5: Solve for x
    x = 7,379,085,467.90/123,954.29
  6. Step 6: Final answer
    x = 59,530.70

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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.