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Finding the Fourth Proportional to 59,493.28, 82,101.36 and 32,635.84

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Solution

The fourth proportional to 59,493.28, 82,101.36 and 32,635.84 is: 45,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,493.28 : 82,101.36 = 32,635.84 : x
  2. Step 2: Convert to fraction form
    59,493.28/82,101.36 = 32,635.84/x
  3. Step 3: Cross multiply
    59,493.28x = 82,101.36 × 32,635.84
  4. Step 4: Simplify right side
    59,493.28x = 2,679,446,848.74
  5. Step 5: Solve for x
    x = 2,679,446,848.74/59,493.28
  6. Step 6: Final answer
    x = 45,037.81

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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.