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Finding the Fourth Proportional to 123,749.64, 185,625.54 and 35,006.04

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Solution

The fourth proportional to 123,749.64, 185,625.54 and 35,006.04 is: 52,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,749.64 : 185,625.54 = 35,006.04 : x
  2. Step 2: Convert to fraction form
    123,749.64/185,625.54 = 35,006.04/x
  3. Step 3: Cross multiply
    123,749.64x = 185,625.54 × 35,006.04
  4. Step 4: Simplify right side
    123,749.64x = 6,498,015,078.26
  5. Step 5: Solve for x
    x = 6,498,015,078.26/123,749.64
  6. Step 6: Final answer
    x = 52,509.37

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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.