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Finding the Fourth Proportional to 32,517.40, 48,777.90 and 9,142

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Solution

The fourth proportional to 32,517.40, 48,777.90 and 9,142 is: 13,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.40 : 48,777.90 = 9,142 : x
  2. Step 2: Convert to fraction form
    32,517.40/48,777.90 = 9,142/x
  3. Step 3: Cross multiply
    32,517.40x = 48,777.90 × 9,142
  4. Step 4: Simplify right side
    32,517.40x = 445,927,561.80
  5. Step 5: Solve for x
    x = 445,927,561.80/32,517.40
  6. Step 6: Final answer
    x = 13,713.51

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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.