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Finding the Fourth Proportional to 39,696.39, 59,544.72 and 10,114.20

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Solution

The fourth proportional to 39,696.39, 59,544.72 and 10,114.20 is: 15,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,696.39 : 59,544.72 = 10,114.20 : x
  2. Step 2: Convert to fraction form
    39,696.39/59,544.72 = 10,114.20/x
  3. Step 3: Cross multiply
    39,696.39x = 59,544.72 × 10,114.20
  4. Step 4: Simplify right side
    39,696.39x = 602,247,207.02
  5. Step 5: Solve for x
    x = 602,247,207.02/39,696.39
  6. Step 6: Final answer
    x = 15,171.33

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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.