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Finding the Fourth Proportional to 37,846.90, 52,203.72 and 23,675.14

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Solution

The fourth proportional to 37,846.90, 52,203.72 and 23,675.14 is: 32,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,846.90 : 52,203.72 = 23,675.14 : x
  2. Step 2: Convert to fraction form
    37,846.90/52,203.72 = 23,675.14/x
  3. Step 3: Cross multiply
    37,846.90x = 52,203.72 × 23,675.14
  4. Step 4: Simplify right side
    37,846.90x = 1,235,930,379.52
  5. Step 5: Solve for x
    x = 1,235,930,379.52/37,846.90
  6. Step 6: Final answer
    x = 32,656.05

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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.