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Finding the Fourth Proportional to 76,562.88, 105,651.36 and 43,033.92

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Solution

The fourth proportional to 76,562.88, 105,651.36 and 43,033.92 is: 59,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,562.88 : 105,651.36 = 43,033.92 : x
  2. Step 2: Convert to fraction form
    76,562.88/105,651.36 = 43,033.92/x
  3. Step 3: Cross multiply
    76,562.88x = 105,651.36 × 43,033.92
  4. Step 4: Simplify right side
    76,562.88x = 4,546,592,174.13
  5. Step 5: Solve for x
    x = 4,546,592,174.13/76,562.88
  6. Step 6: Final answer
    x = 59,383.77

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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.