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Finding the Fourth Proportional to 58,538.14, 80,782.73 and 31,680.67

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Solution

The fourth proportional to 58,538.14, 80,782.73 and 31,680.67 is: 43,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,538.14 : 80,782.73 = 31,680.67 : x
  2. Step 2: Convert to fraction form
    58,538.14/80,782.73 = 31,680.67/x
  3. Step 3: Cross multiply
    58,538.14x = 80,782.73 × 31,680.67
  4. Step 4: Simplify right side
    58,538.14x = 2,559,250,852.43
  5. Step 5: Solve for x
    x = 2,559,250,852.43/58,538.14
  6. Step 6: Final answer
    x = 43,719.38

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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.