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Finding the Fourth Proportional to 76,054.56, 114,084 and 26,133.84

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Solution

The fourth proportional to 76,054.56, 114,084 and 26,133.84 is: 39,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,054.56 : 114,084 = 26,133.84 : x
  2. Step 2: Convert to fraction form
    76,054.56/114,084 = 26,133.84/x
  3. Step 3: Cross multiply
    76,054.56x = 114,084 × 26,133.84
  4. Step 4: Simplify right side
    76,054.56x = 2,981,453,002.56
  5. Step 5: Solve for x
    x = 2,981,453,002.56/76,054.56
  6. Step 6: Final answer
    x = 39,201.50

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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.