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Finding the Fourth Proportional to 83,206.36, 114,824.64 and 47,396.35

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Solution

The fourth proportional to 83,206.36, 114,824.64 and 47,396.35 is: 65,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206.36 : 114,824.64 = 47,396.35 : x
  2. Step 2: Convert to fraction form
    83,206.36/114,824.64 = 47,396.35/x
  3. Step 3: Cross multiply
    83,206.36x = 114,824.64 × 47,396.35
  4. Step 4: Simplify right side
    83,206.36x = 5,442,268,826.06
  5. Step 5: Solve for x
    x = 5,442,268,826.06/83,206.36
  6. Step 6: Final answer
    x = 65,406.89

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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.