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Finding the Fourth Proportional to 32,357.26, 48,535.89 and 10,172.58

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Solution

The fourth proportional to 32,357.26, 48,535.89 and 10,172.58 is: 15,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,357.26 : 48,535.89 = 10,172.58 : x
  2. Step 2: Convert to fraction form
    32,357.26/48,535.89 = 10,172.58/x
  3. Step 3: Cross multiply
    32,357.26x = 48,535.89 × 10,172.58
  4. Step 4: Simplify right side
    32,357.26x = 493,734,981.22
  5. Step 5: Solve for x
    x = 493,734,981.22/32,357.26
  6. Step 6: Final answer
    x = 15,258.86

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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.