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Finding the Fourth Proportional to 59,198, 81,693.24 and 32,702

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Solution

The fourth proportional to 59,198, 81,693.24 and 32,702 is: 45,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,198 : 81,693.24 = 32,702 : x
  2. Step 2: Convert to fraction form
    59,198/81,693.24 = 32,702/x
  3. Step 3: Cross multiply
    59,198x = 81,693.24 × 32,702
  4. Step 4: Simplify right side
    59,198x = 2,671,532,334.48
  5. Step 5: Solve for x
    x = 2,671,532,334.48/59,198
  6. Step 6: Final answer
    x = 45,128.76

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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.