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Finding the Fourth Proportional to 32,338.05, 48,506.97 and 10,153.08

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Solution

The fourth proportional to 32,338.05, 48,506.97 and 10,153.08 is: 15,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,338.05 : 48,506.97 = 10,153.08 : x
  2. Step 2: Convert to fraction form
    32,338.05/48,506.97 = 10,153.08/x
  3. Step 3: Cross multiply
    32,338.05x = 48,506.97 × 10,153.08
  4. Step 4: Simplify right side
    32,338.05x = 492,495,127.93
  5. Step 5: Solve for x
    x = 492,495,127.93/32,338.05
  6. Step 6: Final answer
    x = 15,229.59

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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.