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Finding the Fourth Proportional to 32,942.74, 45,461.00 and 17,835.40

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Solution

The fourth proportional to 32,942.74, 45,461.00 and 17,835.40 is: 24,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,942.74 : 45,461.00 = 17,835.40 : x
  2. Step 2: Convert to fraction form
    32,942.74/45,461.00 = 17,835.40/x
  3. Step 3: Cross multiply
    32,942.74x = 45,461.00 × 17,835.40
  4. Step 4: Simplify right side
    32,942.74x = 810,815,087.05
  5. Step 5: Solve for x
    x = 810,815,087.05/32,942.74
  6. Step 6: Final answer
    x = 24,612.86

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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.