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Finding the Fourth Proportional to 59,642.20, 82,305.31 and 32,784.14

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Solution

The fourth proportional to 59,642.20, 82,305.31 and 32,784.14 is: 45,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,642.20 : 82,305.31 = 32,784.14 : x
  2. Step 2: Convert to fraction form
    59,642.20/82,305.31 = 32,784.14/x
  3. Step 3: Cross multiply
    59,642.20x = 82,305.31 × 32,784.14
  4. Step 4: Simplify right side
    59,642.20x = 2,698,308,394.26
  5. Step 5: Solve for x
    x = 2,698,308,394.26/59,642.20
  6. Step 6: Final answer
    x = 45,241.60

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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.