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Finding the Fourth Proportional to 59,636, 82,299.56 and 32,780.58

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Solution

The fourth proportional to 59,636, 82,299.56 and 32,780.58 is: 45,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,636 : 82,299.56 = 32,780.58 : x
  2. Step 2: Convert to fraction form
    59,636/82,299.56 = 32,780.58/x
  3. Step 3: Cross multiply
    59,636x = 82,299.56 × 32,780.58
  4. Step 4: Simplify right side
    59,636x = 2,697,827,310.54
  5. Step 5: Solve for x
    x = 2,697,827,310.54/59,636
  6. Step 6: Final answer
    x = 45,238.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.