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Finding the Fourth Proportional to 96,578.49, 144,865.52 and 25,506.14

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Solution

The fourth proportional to 96,578.49, 144,865.52 and 25,506.14 is: 38,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,578.49 : 144,865.52 = 25,506.14 : x
  2. Step 2: Convert to fraction form
    96,578.49/144,865.52 = 25,506.14/x
  3. Step 3: Cross multiply
    96,578.49x = 144,865.52 × 25,506.14
  4. Step 4: Simplify right side
    96,578.49x = 3,694,959,478.08
  5. Step 5: Solve for x
    x = 3,694,959,478.08/96,578.49
  6. Step 6: Final answer
    x = 38,258.62

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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.