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Finding the Fourth Proportional to 59,716.48, 82,410.72 and 32,860

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Solution

The fourth proportional to 59,716.48, 82,410.72 and 32,860 is: 45,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,716.48 : 82,410.72 = 32,860 : x
  2. Step 2: Convert to fraction form
    59,716.48/82,410.72 = 32,860/x
  3. Step 3: Cross multiply
    59,716.48x = 82,410.72 × 32,860
  4. Step 4: Simplify right side
    59,716.48x = 2,708,016,259.20
  5. Step 5: Solve for x
    x = 2,708,016,259.20/59,716.48
  6. Step 6: Final answer
    x = 45,347.89

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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.