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Finding the Fourth Proportional to 32,357.41, 48,536.08 and 10,172.73

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Solution

The fourth proportional to 32,357.41, 48,536.08 and 10,172.73 is: 15,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,357.41 : 48,536.08 = 10,172.73 : x
  2. Step 2: Convert to fraction form
    32,357.41/48,536.08 = 10,172.73/x
  3. Step 3: Cross multiply
    32,357.41x = 48,536.08 × 10,172.73
  4. Step 4: Simplify right side
    32,357.41x = 493,744,437.10
  5. Step 5: Solve for x
    x = 493,744,437.10/32,357.41
  6. Step 6: Final answer
    x = 15,259.08

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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.