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Finding the Fourth Proportional to 32,357.67, 48,536.46 and 10,172.98

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Solution

The fourth proportional to 32,357.67, 48,536.46 and 10,172.98 is: 15,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,357.67 : 48,536.46 = 10,172.98 : x
  2. Step 2: Convert to fraction form
    32,357.67/48,536.46 = 10,172.98/x
  3. Step 3: Cross multiply
    32,357.67x = 48,536.46 × 10,172.98
  4. Step 4: Simplify right side
    32,357.67x = 493,760,436.85
  5. Step 5: Solve for x
    x = 493,760,436.85/32,357.67
  6. Step 6: Final answer
    x = 15,259.46

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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.