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Finding the Fourth Proportional to 76,065.68, 104,952.84 and 45,842.96

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Solution

The fourth proportional to 76,065.68, 104,952.84 and 45,842.96 is: 63,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,065.68 : 104,952.84 = 45,842.96 : x
  2. Step 2: Convert to fraction form
    76,065.68/104,952.84 = 45,842.96/x
  3. Step 3: Cross multiply
    76,065.68x = 104,952.84 × 45,842.96
  4. Step 4: Simplify right side
    76,065.68x = 4,811,348,846.01
  5. Step 5: Solve for x
    x = 4,811,348,846.01/76,065.68
  6. Step 6: Final answer
    x = 63,252.56

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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.