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Finding the Fourth Proportional to 77,087.54, 115,629.62 and 35,534.54

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Solution

The fourth proportional to 77,087.54, 115,629.62 and 35,534.54 is: 53,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,087.54 : 115,629.62 = 35,534.54 : x
  2. Step 2: Convert to fraction form
    77,087.54/115,629.62 = 35,534.54/x
  3. Step 3: Cross multiply
    77,087.54x = 115,629.62 × 35,534.54
  4. Step 4: Simplify right side
    77,087.54x = 4,108,844,601.25
  5. Step 5: Solve for x
    x = 4,108,844,601.25/77,087.54
  6. Step 6: Final answer
    x = 53,301.02

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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.