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Finding the Fourth Proportional to 57,233.64, 85,833 and 39,577.80

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Solution

The fourth proportional to 57,233.64, 85,833 and 39,577.80 is: 59,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,233.64 : 85,833 = 39,577.80 : x
  2. Step 2: Convert to fraction form
    57,233.64/85,833 = 39,577.80/x
  3. Step 3: Cross multiply
    57,233.64x = 85,833 × 39,577.80
  4. Step 4: Simplify right side
    57,233.64x = 3,397,081,307.40
  5. Step 5: Solve for x
    x = 3,397,081,307.40/57,233.64
  6. Step 6: Final answer
    x = 59,354.63

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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.