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Finding the Fourth Proportional to 96,584.34, 144,870.14 and 33,389.76

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Solution

The fourth proportional to 96,584.34, 144,870.14 and 33,389.76 is: 50,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,584.34 : 144,870.14 = 33,389.76 : x
  2. Step 2: Convert to fraction form
    96,584.34/144,870.14 = 33,389.76/x
  3. Step 3: Cross multiply
    96,584.34x = 144,870.14 × 33,389.76
  4. Step 4: Simplify right side
    96,584.34x = 4,837,179,205.77
  5. Step 5: Solve for x
    x = 4,837,179,205.77/96,584.34
  6. Step 6: Final answer
    x = 50,082.44

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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.