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Finding the Fourth Proportional to 59,685.75, 82,367.01 and 32,828.70

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Solution

The fourth proportional to 59,685.75, 82,367.01 and 32,828.70 is: 45,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,685.75 : 82,367.01 = 32,828.70 : x
  2. Step 2: Convert to fraction form
    59,685.75/82,367.01 = 32,828.70/x
  3. Step 3: Cross multiply
    59,685.75x = 82,367.01 × 32,828.70
  4. Step 4: Simplify right side
    59,685.75x = 2,704,001,861.19
  5. Step 5: Solve for x
    x = 2,704,001,861.19/59,685.75
  6. Step 6: Final answer
    x = 45,303.98

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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.