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Finding the Fourth Proportional to 59,396.56, 81,869.64 and 47,438.80

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Solution

The fourth proportional to 59,396.56, 81,869.64 and 47,438.80 is: 65,387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,396.56 : 81,869.64 = 47,438.80 : x
  2. Step 2: Convert to fraction form
    59,396.56/81,869.64 = 47,438.80/x
  3. Step 3: Cross multiply
    59,396.56x = 81,869.64 × 47,438.80
  4. Step 4: Simplify right side
    59,396.56x = 3,883,797,478.03
  5. Step 5: Solve for x
    x = 3,883,797,478.03/59,396.56
  6. Step 6: Final answer
    x = 65,387.58

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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.