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Finding the Fourth Proportional to 32,098.04, 44,294.46 and 17,757.50

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Solution

The fourth proportional to 32,098.04, 44,294.46 and 17,757.50 is: 24,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.04 : 44,294.46 = 17,757.50 : x
  2. Step 2: Convert to fraction form
    32,098.04/44,294.46 = 17,757.50/x
  3. Step 3: Cross multiply
    32,098.04x = 44,294.46 × 17,757.50
  4. Step 4: Simplify right side
    32,098.04x = 786,558,873.45
  5. Step 5: Solve for x
    x = 786,558,873.45/32,098.04
  6. Step 6: Final answer
    x = 24,504.89

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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.