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Finding the Fourth Proportional to 76,608.30, 114,912.30 and 24,017.70

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Solution

The fourth proportional to 76,608.30, 114,912.30 and 24,017.70 is: 36,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,608.30 : 114,912.30 = 24,017.70 : x
  2. Step 2: Convert to fraction form
    76,608.30/114,912.30 = 24,017.70/x
  3. Step 3: Cross multiply
    76,608.30x = 114,912.30 × 24,017.70
  4. Step 4: Simplify right side
    76,608.30x = 2,759,929,147.71
  5. Step 5: Solve for x
    x = 2,759,929,147.71/76,608.30
  6. Step 6: Final answer
    x = 36,026.50

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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.