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Finding the Fourth Proportional to 76,823.76, 115,252.76 and 23,523.21

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Solution

The fourth proportional to 76,823.76, 115,252.76 and 23,523.21 is: 35,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,823.76 : 115,252.76 = 23,523.21 : x
  2. Step 2: Convert to fraction form
    76,823.76/115,252.76 = 23,523.21/x
  3. Step 3: Cross multiply
    76,823.76x = 115,252.76 × 23,523.21
  4. Step 4: Simplify right side
    76,823.76x = 2,711,114,876.56
  5. Step 5: Solve for x
    x = 2,711,114,876.56/76,823.76
  6. Step 6: Final answer
    x = 35,290.06

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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.