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Finding the Fourth Proportional to 55,958.28, 77,255.28 and 34,749.24

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Solution

The fourth proportional to 55,958.28, 77,255.28 and 34,749.24 is: 47,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,958.28 : 77,255.28 = 34,749.24 : x
  2. Step 2: Convert to fraction form
    55,958.28/77,255.28 = 34,749.24/x
  3. Step 3: Cross multiply
    55,958.28x = 77,255.28 × 34,749.24
  4. Step 4: Simplify right side
    55,958.28x = 2,684,562,265.99
  5. Step 5: Solve for x
    x = 2,684,562,265.99/55,958.28
  6. Step 6: Final answer
    x = 47,974.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.