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Finding the Fourth Proportional to 32,675.50, 45,092.57 and 17,771.50

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Solution

The fourth proportional to 32,675.50, 45,092.57 and 17,771.50 is: 24,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,675.50 : 45,092.57 = 17,771.50 : x
  2. Step 2: Convert to fraction form
    32,675.50/45,092.57 = 17,771.50/x
  3. Step 3: Cross multiply
    32,675.50x = 45,092.57 × 17,771.50
  4. Step 4: Simplify right side
    32,675.50x = 801,362,607.76
  5. Step 5: Solve for x
    x = 801,362,607.76/32,675.50
  6. Step 6: Final answer
    x = 24,524.88

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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.