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Finding the Fourth Proportional to 59,597.82, 82,246.23 and 32,742

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Solution

The fourth proportional to 59,597.82, 82,246.23 and 32,742 is: 45,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,597.82 : 82,246.23 = 32,742 : x
  2. Step 2: Convert to fraction form
    59,597.82/82,246.23 = 32,742/x
  3. Step 3: Cross multiply
    59,597.82x = 82,246.23 × 32,742
  4. Step 4: Simplify right side
    59,597.82x = 2,692,906,062.66
  5. Step 5: Solve for x
    x = 2,692,906,062.66/59,597.82
  6. Step 6: Final answer
    x = 45,184.64

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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.