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Finding the Fourth Proportional to 76,564.44, 114,841.80 and 23,972.76

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Solution

The fourth proportional to 76,564.44, 114,841.80 and 23,972.76 is: 35,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,564.44 : 114,841.80 = 23,972.76 : x
  2. Step 2: Convert to fraction form
    76,564.44/114,841.80 = 23,972.76/x
  3. Step 3: Cross multiply
    76,564.44x = 114,841.80 × 23,972.76
  4. Step 4: Simplify right side
    76,564.44x = 2,753,074,909.37
  5. Step 5: Solve for x
    x = 2,753,074,909.37/76,564.44
  6. Step 6: Final answer
    x = 35,957.62

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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.