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Finding the Fourth Proportional to 68,535.80, 102,693.30 and 38,865.40

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Solution

The fourth proportional to 68,535.80, 102,693.30 and 38,865.40 is: 58,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,535.80 : 102,693.30 = 38,865.40 : x
  2. Step 2: Convert to fraction form
    68,535.80/102,693.30 = 38,865.40/x
  3. Step 3: Cross multiply
    68,535.80x = 102,693.30 × 38,865.40
  4. Step 4: Simplify right side
    68,535.80x = 3,991,216,181.82
  5. Step 5: Solve for x
    x = 3,991,216,181.82/68,535.80
  6. Step 6: Final answer
    x = 58,235.49

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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.