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Finding the Fourth Proportional to 47,207.72, 70,745.50 and 35,507.24

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Solution

The fourth proportional to 47,207.72, 70,745.50 and 35,507.24 is: 53,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,207.72 : 70,745.50 = 35,507.24 : x
  2. Step 2: Convert to fraction form
    47,207.72/70,745.50 = 35,507.24/x
  3. Step 3: Cross multiply
    47,207.72x = 70,745.50 × 35,507.24
  4. Step 4: Simplify right side
    47,207.72x = 2,511,977,447.42
  5. Step 5: Solve for x
    x = 2,511,977,447.42/47,207.72
  6. Step 6: Final answer
    x = 53,211.16

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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.