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Finding the Fourth Proportional to 75,408, 113,062.08 and 35,971.20

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Solution

The fourth proportional to 75,408, 113,062.08 and 35,971.20 is: 53,932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,408 : 113,062.08 = 35,971.20 : x
  2. Step 2: Convert to fraction form
    75,408/113,062.08 = 35,971.20/x
  3. Step 3: Cross multiply
    75,408x = 113,062.08 × 35,971.20
  4. Step 4: Simplify right side
    75,408x = 4,066,978,692.10
  5. Step 5: Solve for x
    x = 4,066,978,692.10/75,408
  6. Step 6: Final answer
    x = 53,932.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.