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Finding the Fourth Proportional to 59,457.21, 82,051.89 and 35,584.89

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Solution

The fourth proportional to 59,457.21, 82,051.89 and 35,584.89 is: 49,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,457.21 : 82,051.89 = 35,584.89 : x
  2. Step 2: Convert to fraction form
    59,457.21/82,051.89 = 35,584.89/x
  3. Step 3: Cross multiply
    59,457.21x = 82,051.89 × 35,584.89
  4. Step 4: Simplify right side
    59,457.21x = 2,919,807,479.94
  5. Step 5: Solve for x
    x = 2,919,807,479.94/59,457.21
  6. Step 6: Final answer
    x = 49,107.71

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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.