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Finding the Fourth Proportional to 96,813.30, 145,145.88 and 54,740.88

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Solution

The fourth proportional to 96,813.30, 145,145.88 and 54,740.88 is: 82,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,813.30 : 145,145.88 = 54,740.88 : x
  2. Step 2: Convert to fraction form
    96,813.30/145,145.88 = 54,740.88/x
  3. Step 3: Cross multiply
    96,813.30x = 145,145.88 × 54,740.88
  4. Step 4: Simplify right side
    96,813.30x = 7,945,413,199.57
  5. Step 5: Solve for x
    x = 7,945,413,199.57/96,813.30
  6. Step 6: Final answer
    x = 82,069.44

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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.