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Finding the Fourth Proportional to 32,357.17, 48,535.71 and 10,172.48

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Solution

The fourth proportional to 32,357.17, 48,535.71 and 10,172.48 is: 15,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,357.17 : 48,535.71 = 10,172.48 : x
  2. Step 2: Convert to fraction form
    32,357.17/48,535.71 = 10,172.48/x
  3. Step 3: Cross multiply
    32,357.17x = 48,535.71 × 10,172.48
  4. Step 4: Simplify right side
    32,357.17x = 493,728,539.26
  5. Step 5: Solve for x
    x = 493,728,539.26/32,357.17
  6. Step 6: Final answer
    x = 15,258.71

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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.