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Finding the Fourth Proportional to 32,489.56, 48,740.42 and 10,296.98

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Solution

The fourth proportional to 32,489.56, 48,740.42 and 10,296.98 is: 15,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489.56 : 48,740.42 = 10,296.98 : x
  2. Step 2: Convert to fraction form
    32,489.56/48,740.42 = 10,296.98/x
  3. Step 3: Cross multiply
    32,489.56x = 48,740.42 × 10,296.98
  4. Step 4: Simplify right side
    32,489.56x = 501,878,834.74
  5. Step 5: Solve for x
    x = 501,878,834.74/32,489.56
  6. Step 6: Final answer
    x = 15,447.39

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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.