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Finding the Fourth Proportional to 68,477.54, 102,712.73 and 24,104.59

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Solution

The fourth proportional to 68,477.54, 102,712.73 and 24,104.59 is: 36,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,477.54 : 102,712.73 = 24,104.59 : x
  2. Step 2: Convert to fraction form
    68,477.54/102,712.73 = 24,104.59/x
  3. Step 3: Cross multiply
    68,477.54x = 102,712.73 × 24,104.59
  4. Step 4: Simplify right side
    68,477.54x = 2,475,847,867.13
  5. Step 5: Solve for x
    x = 2,475,847,867.13/68,477.54
  6. Step 6: Final answer
    x = 36,155.62

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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.