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Finding the Fourth Proportional to 77,833.56, 116,797.56 and 31,082.52

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Solution

The fourth proportional to 77,833.56, 116,797.56 and 31,082.52 is: 46,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,833.56 : 116,797.56 = 31,082.52 : x
  2. Step 2: Convert to fraction form
    77,833.56/116,797.56 = 31,082.52/x
  3. Step 3: Cross multiply
    77,833.56x = 116,797.56 × 31,082.52
  4. Step 4: Simplify right side
    77,833.56x = 3,630,362,494.65
  5. Step 5: Solve for x
    x = 3,630,362,494.65/77,833.56
  6. Step 6: Final answer
    x = 46,642.64

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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.