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Finding the Fourth Proportional to 76,764.84, 115,138.14 and 26,841.12

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Solution

The fourth proportional to 76,764.84, 115,138.14 and 26,841.12 is: 40,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,764.84 : 115,138.14 = 26,841.12 : x
  2. Step 2: Convert to fraction form
    76,764.84/115,138.14 = 26,841.12/x
  3. Step 3: Cross multiply
    76,764.84x = 115,138.14 × 26,841.12
  4. Step 4: Simplify right side
    76,764.84x = 3,090,436,632.32
  5. Step 5: Solve for x
    x = 3,090,436,632.32/76,764.84
  6. Step 6: Final answer
    x = 40,258.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.