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Finding the Fourth Proportional to 76,705.92, 115,065.45 and 23,409.90

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Solution

The fourth proportional to 76,705.92, 115,065.45 and 23,409.90 is: 35,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,705.92 : 115,065.45 = 23,409.90 : x
  2. Step 2: Convert to fraction form
    76,705.92/115,065.45 = 23,409.90/x
  3. Step 3: Cross multiply
    76,705.92x = 115,065.45 × 23,409.90
  4. Step 4: Simplify right side
    76,705.92x = 2,693,670,677.96
  5. Step 5: Solve for x
    x = 2,693,670,677.96/76,705.92
  6. Step 6: Final answer
    x = 35,116.86

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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.