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Finding the Fourth Proportional to 96,428.54, 144,640.38 and 29,865.98

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Solution

The fourth proportional to 96,428.54, 144,640.38 and 29,865.98 is: 44,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,428.54 : 144,640.38 = 29,865.98 : x
  2. Step 2: Convert to fraction form
    96,428.54/144,640.38 = 29,865.98/x
  3. Step 3: Cross multiply
    96,428.54x = 144,640.38 × 29,865.98
  4. Step 4: Simplify right side
    96,428.54x = 4,319,826,696.27
  5. Step 5: Solve for x
    x = 4,319,826,696.27/96,428.54
  6. Step 6: Final answer
    x = 44,798.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.