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Finding the Fourth Proportional to 59,408, 81,983.04 and 32,912

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Solution

The fourth proportional to 59,408, 81,983.04 and 32,912 is: 45,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,408 : 81,983.04 = 32,912 : x
  2. Step 2: Convert to fraction form
    59,408/81,983.04 = 32,912/x
  3. Step 3: Cross multiply
    59,408x = 81,983.04 × 32,912
  4. Step 4: Simplify right side
    59,408x = 2,698,225,812.48
  5. Step 5: Solve for x
    x = 2,698,225,812.48/59,408
  6. Step 6: Final answer
    x = 45,418.56

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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.