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Finding the Fourth Proportional to 96,133.95, 144,107.19 and 38,414.01

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Solution

The fourth proportional to 96,133.95, 144,107.19 and 38,414.01 is: 57,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,133.95 : 144,107.19 = 38,414.01 : x
  2. Step 2: Convert to fraction form
    96,133.95/144,107.19 = 38,414.01/x
  3. Step 3: Cross multiply
    96,133.95x = 144,107.19 × 38,414.01
  4. Step 4: Simplify right side
    96,133.95x = 5,535,735,037.73
  5. Step 5: Solve for x
    x = 5,535,735,037.73/96,133.95
  6. Step 6: Final answer
    x = 57,583.56

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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.